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@ARTICLE{adamek:cplt-alg,
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  mrclass = {18C15 (18A35)},
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  mrreviewer = {Walter Tholen}
}

@ARTICLE{MR836324,
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@INCOLLECTION{MR835466,
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}

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@ARTICLE{MR0274373,
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}

@ARTICLE{ablr:classif-acc,
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@ARTICLE{aesv:lax-epi,
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@ARTICLE{MR857544,
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@INCOLLECTION{MR1047905,
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  mrreviewer = {Walter Tholen}
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@ARTICLE{MR1913101,
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@ARTICLE{ahrt:wfs,
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  year = {2002},
  volume = {10},
  pages = {237--249},
  number = {3},
  note = {Papers in honour of the seventieth birthday of Professor Heinrich
	Kleisli (Fribourg, 2000)},
  coden = {ACASE6},
  fjournal = {Applied Categorical Structures. A Journal Devoted to Applications
	of Categorical Methods in Algebra, Analysis, Order, Topology and
	Computer Science},
  issn = {0927-2852},
  mrclass = {18A22 (18A32 18B35)},
  mrnumber = {MR1916156 (2003i:18001)},
  mrreviewer = {Carsten Butz}
}

@ARTICLE{ahs:joy-of-cats,
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  mrclass = {18-02 (08C05 18A20 18B30 54B30)},
  mrnumber = {MR2240597}
}

@ARTICLE{MR1007916,
  author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Herrlich, Horst and Tholen, Walter},
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  year = {1989},
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  issn = {0022-4049},
  mrclass = {18C15 (18C20)},
  mrnumber = {MR1007916 (90i:18003)},
  mrreviewer = {Jan Reiterman}
}

@ARTICLE{ajmr:finitary-sketches,
  author = {Ad{\'a}mek, J. and Johnstone, Peter T. and Makowsky, J. A. and Rosick{\'y},
	J.},
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  year = {1997},
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  pages = {699--707},
  number = {3},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
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  mrclass = {03G30 (03C75 03C95 18C10 68Q65)},
  mrnumber = {MR1472119 (99e:03044)},
  mrreviewer = {Leo Esakia}
}

@ARTICLE{MR1200421,
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  pages = {179--184},
  number = {3},
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  mrclass = {54B30 (18B25 18B30)},
  mrnumber = {MR1200421 (93m:54023)}
}

@ARTICLE{MR1240190,
  author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Reiterman, Jan},
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  year = {1992},
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  fjournal = {Commentationes Mathematicae Universitatis Carolinae},
  issn = {0010-2628},
  mrclass = {18A35 (18A32 54B30 54E15 54E35)},
  mrnumber = {MR1240190 (94m:18004)},
  mrreviewer = {D. Pumpl{\"u}n}
}

@INPROCEEDINGS{MR911684,
  author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Reiterman, Jan},
  title = {The quasitopos hull of the category of uniform spaces},
  booktitle = {Proceedings of the 8th international conference on categorical topology
	(L'Aquila, 1986)},
  year = {1987},
  volume = {27},
  number = {2},
  pages = {97--104},
  coden = {TIAPD9},
  fjournal = {Topology and its Applications},
  issn = {0166-8641},
  journal = {Topology Appl.},
  mrclass = {54B30 (18B25 18D15 54E15)},
  mrnumber = {MR911684 (88j:54014)},
  mrreviewer = {H. Herrlich}
}

@ARTICLE{MR852312,
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  title = {Topological categories presented by small sets of axioms},
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  year = {1986},
  volume = {42},
  pages = {1--14},
  number = {1},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18B30 (18B15 54B30)},
  mrnumber = {MR852312 (87j:18009)},
  mrreviewer = {H. Herrlich}
}

@ARTICLE{MR794489,
  author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Reiterman, Jan},
  title = {Cartesian closed hull of the category of uniform spaces},
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  year = {1985},
  volume = {19},
  pages = {261--276},
  number = {3},
  coden = {TIAPD9},
  fjournal = {Topology and its Applications},
  issn = {0166-8641},
  mrclass = {54E15 (18D15)},
  mrnumber = {MR794489 (87d:54053)},
  mrreviewer = {A. G. Hitchcock}
}

@BOOK{ar:loc-pres,
  title = {Locally presentable and accessible categories},
  publisher = {Cambridge University Press},
  year = {1994},
  author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Rosick{\'y}, Ji{\v{r}}{\'{\i}}},
  volume = {189},
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  series = {London Mathematical Society Lecture Note Series},
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}

@ARTICLE{MR1813217,
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	Computer Science},
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  mrclass = {18A40 (18B30 18E15 54B30)},
  mrnumber = {MR1813217 (2001k:18003)}
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@ARTICLE{MR1756923,
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  year = {2000},
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  mrclass = {18A05 (18A22 18A40)},
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  mrreviewer = {R. H. Street}
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@ARTICLE{at:total-gen,
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  pages = {63--78},
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  coden = {JALGA4},
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  mrnumber = {MR1063381 (91h:18004)},
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@BOOK{ak:nsmeth-fpthy,
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@ARTICLE{MR1929304,
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  mrnumber = {MR941885 (89g:18003a)},
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}

@UNPUBLISHED{abghr:units,
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	J.~Hopkins and Charles Rezk},
  title = {Units of ring spectra and {T}hom spectra},
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@UNPUBLISHED{anel:grtop-ufs,
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@INCOLLECTION{MR0265429,
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@BOOK{am:etale-homotopy,
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@ARTICLE{MR959431,
  author = {Ashley, N.},
  title = {Simplicial {$T$}-complexes and crossed complexes: a nonabelian version
	of a theorem of {D}old and {K}an},
  journal = {Dissertationes Math. (Rozprawy Mat.)},
  year = {1988},
  volume = {265},
  pages = {61},
  note = {With a preface by Ronald Brown},
  coden = {DSMAAH},
  fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Dissertationes Mathematicae.
	Rozprawy Matematyczne},
  issn = {0012-3862},
  mrclass = {55Q99 (18G30 18G55 20L15 55U10)},
  mrnumber = {MR959431 (89k:55028)},
  mrreviewer = {Timothy Porter}
}

@UNPUBLISHED{awodey:outl-ast,
  author = {Steve Awodey},
  title = {An outline of algebraic set theory},
  note = {Available at \url{http://www.phil.cmu.edu/projects/ast/}}
}

@BOOK{awodey:cat-thy,
  title = {Category theory},
  publisher = {The Clarendon Press Oxford University Press},
  year = {2006},
  author = {Awodey, Steve},
  volume = {49},
  pages = {xii+256},
  series = {Oxford Logic Guides},
  address = {New York},
  isbn = {0-19-856861-4; 978-0-19-856861-2},
  mrclass = {18-01 (03G30 18A25)},
  mrnumber = {MR2229319 (2007i:18001)},
  mrreviewer = {Colin McLarty}
}

@ARTICLE{awodey:struct,
  author = {Awodey, Steve},
  title = {An answer to {G}. {H}ellman's question: ``{D}oes category theory
	provide a framework for mathematical structuralism?'' [{P}hilos.\
	{M}ath.\ (3) {\bf 11} (2003), no.\ 2, 129--157; MR1980559]},
  journal = {Philos. Math. (3)},
  year = {2004},
  volume = {12},
  pages = {54--64},
  number = {1},
  fjournal = {Philosophia Mathematica. Philosophy of Mathematics, its Learning,
	and its Application. Series III},
  issn = {0031-8019},
  mrclass = {03A05 (00A30 18B25)},
  mrnumber = {MR2033720 (2005b:03018b)},
  mrreviewer = {Peter Johnstone}
}

@PHDTHESIS{awodey:thesis,
  author = {Steven Awodey},
  title = {Logic in topoi: functorial semantics for higher-order logic},
  school = {University of Chicago},
  year = {1997}
}

@ARTICLE{awodey:struct-mathlog,
  author = {Awodey, S.},
  title = {Structure in mathematics and logic: a categorical perspective},
  journal = {Philos. Math. (3)},
  year = {1996},
  volume = {4},
  pages = {209--237},
  number = {3},
  fjournal = {Philosophia Mathematica. Philosophy of Mathematics, its Learning,
	and its Applications. Series III},
  issn = {0031-8019},
  mrclass = {03G30 (00A30 03A05 18B99)},
  mrnumber = {MR1406758 (99c:03106)},
  mrreviewer = {Colin McLarty}
}

@ARTICLE{ab:bracket-types,
  author = {Awodey, Steven and Bauer, Andrej},
  title = {Propositions as [types]},
  journal = {J. Logic Comput.},
  year = {2004},
  volume = {14},
  pages = {447--471},
  number = {4},
  doi = {10.1093/logcom/14.4.447},
  fjournal = {Journal of Logic and Computation},
  issn = {0955-792X},
  mrclass = {03B15 (03B20 03B45 18C50)},
  mrnumber = {MR2081047 (2005d:03015)},
  url = {http://dx.doi.org/10.1093/logcom/14.4.447}
}

% foss-et
@ARTICLE{abss:bulletin-announcement,
  author = {Awodey, Steve and Butz, Carsten and Simpson, Alex and Streicher,
	Thomas},
  title = {Relating first-order set theories and elementary toposes},
  journal = {Bull. Symbolic Logic},
  year = {2007},
  volume = {13},
  pages = {340--358},
  number = {3},
  fjournal = {Bulletin of Symbolic Logic},
  issn = {1079-8986},
  mrclass = {03G30 (03F50)},
  mrnumber = {MR2359910}
}

% rfosttcoc
@UNPUBLISHED{abss:long-version-draft,
  author = {Steve Awodey and Carsten Butz and Alex Simpson and Thomas Streicher},
  title = {Relating first-order set theories, toposes, and categories of classes},
  note = {\url{http://www.phil.cmu.edu/projects/ast/Papers/abss.pdf}},
  year = {2007}
}

@article{abss:long-version,
title = "Relating first-order set theories, toposes and categories of classes ",
journal = "Annals of Pure and Applied Logic ",
volume = "165",
number = "2",
pages = "428 - 502",
year = "2014",
note = "",
issn = "0168-0072",
doi = "http://dx.doi.org/10.1016/j.apal.2013.06.004",
url = "http://www.sciencedirect.com/science/article/pii/S0168007213000730",
author = "Steve Awodey and Carsten Butz and Alex Simpson and Thomas Streicher",
keywords = "Intuitionistic set theory",
keywords = "Elementary topos",
keywords = "Algebraic set theory "
}

% topsetviacofc
@UNPUBLISHED{abss:long-version-early-draft,
  author = {Steve Awodey and Carsten Butz and Alex Simpson and Thomas Streicher},
  title = {Relating topos theory and set theory via categories of classes},
  note = {I have a PDF of this\dots},
  month = {June},
  year = {2003}
}

% Does categorial ideals, impredicatively
@ARTICLE{af:ast-classes,
  author = {Awodey, S. and Forssell, H.},
  title = {Algebraic models of intuitionistic theories of sets and classes},
  journal = {Theory Appl. Categ.},
  year = {2005/06},
  volume = {15},
  pages = {No. 5, 147--163 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18B05 (03E70 03F60 03G30 18B25 18C10)},
  mrnumber = {MR2210578 (2006k:18004)},
  mrreviewer = {Maulik A. Dave}
}

% Does categorial ideals, predicatively
@Article{aw:pred-ast,
  author = 	 {Steve Awodey and Michael A. Warren},
  title = 	 {Predicative algebraic set theory},
  journal = {Theory Appl. Categ.},
  year = {2005/06},
  volume = 15,
  pages = {No. 1, 1--39 (electronic)},
  fjournal = {Theory and Applications of Categories}}

% Summarizes+combines Awodey-Forssell and Awodey-Warren
@UNPUBLISHED{afw:ast-ideals,
  author = {Steve Awodey and Henrik Forssell and Michael A. Warren},
  title = {Algebraic models of sets and classes in categories of ideals},
  note = {Available online at \url{http://www.phil.cmu.edu/projects/ast/}},
  year = {2006}
}

@ARTICLE{aglw:shvs-ast,
  author = {Awodey, S. and Gambino, N. and Lumsdaine, P. LeF. and Warren, M. A.},
  title = {Lawvere-{T}ierney sheaves in algebraic set theory},
  journal = {J. Symbolic Logic},
  year = {2009},
  volume = {74},
  pages = {861--890},
  number = {3},
  coden = {JSYLA6},
  fjournal = {Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03G30 (03F50 18Bxx)},
  mrnumber = {MR2548465},
  url = {http://projecteuclid.org/getRecord?id=euclid.jsl/1245158088}
}

@UNPUBLISHED{aglw:sheaves-ast,
  author = {Steve Awodey and Nicola Gambino and Peter LeF. Lumsdaine and Michael
	A. Warren},
  title = {A general construction of internal sheaves in algebraic set theory},
  note = {\url{http://www.phil.cmu.edu/projects/ast/}},
  year = {2007}
}

@ARTICLE{aw:htpy-idtype,
  author = {Steve Awodey and Michael A. Warren},
  title = {Homotopy theoretic models of identity types},
  eprint = {arXiv:0709.0248},
  journal = 	 {Math. Proc. Camb. Phil. Soc.},
  pages = 	 {45--55},
  year = 	 {2009},
  volume = 	 {146},
  number = 	 {45}
}

@PhdThesis{warren:thesis,
  author = 	 {Michael A. Warren},
  title = 	 {Homotopy Theoretic Aspects of Constructive Type Theory},
  school = 	 {Carnegie Mellon University},
  year = 	 2008}

@MISC{bbdc:pss,
  author = {John Baez and Toby Bartels and James Dolan and David Corfield},
  title = {Property, Structure, and Stuff},
  howpublished = {Online at http://math.ucr.edu/home/baez/qg-spring2004/discussion.html},
  note = {Accessed Jan 31, 2006}
}

@UNPUBLISHED{bm:thdual,
  author = {John Baez and Paul-Andr\'e Melli\'es},
  title = {Theories with duality},
  note = {In preparation}
}

@INCOLLECTION{bd:fin-feyn,
  author = {Baez, John C. and Dolan, James},
  title = {From finite sets to {F}eynman diagrams},
  booktitle = {Mathematics unlimited---2001 and beyond},
  publisher = {Springer},
  year = {2001},
  pages = {29--50},
  address = {Berlin},
  mrclass = {18B40 (18Dxx 81T18)},
  mrnumber = {MR1852152}
}

@ARTICLE{bd:hda3,
  author = {Baez, John C. and Dolan, James},
  title = {Higher-dimensional algebra. {III}. {$n$}-categories and the algebra of opetopes},
  journal = {Adv. Math.},
  year = {1998},
  volume = {135},
  pages = {145--206},
  number = {2},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18D05 (08C05 18D20 81T99)},
  mrnumber = {MR1620826 (99j:18005)},
  mrreviewer = {Pilar C. Carrasco}
}

@UNPUBLISHED{bl:hda5,
  author = {John C. Baez and Aaron D. Lauda},
  title = {Higher-Dimensional Algebra V: 2-Groups},
  note = {math.QA/0307200}
}

@ARTICLE{bn:hda-i,
  author = {Baez, John C. and Neuchl, Martin},
  title = {Higher-dimensional algebra. {I}. {B}raided monoidal {$2$}-categories},
  journal = {Adv. Math.},
  year = {1996},
  volume = {121},
  pages = {196--244},
  number = {2},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18D05 (18D20 58D29 81T99)},
  mrnumber = {MR1402727 (97h:18009)},
  mrreviewer = {Pilar C. Carrasco}
}

@BOOK{MR1621835,
  title = {The real numbers in pointfree topology},
  publisher = {Universidade de Coimbra Departamento de Matem\'atica},
  year = {1997},
  author = {Banaschewski, B.},
  pages = {viii+94},
  series = {Textos de Matem\'atica. S\'erie B [Texts in Mathematics. Series B],
	12},
  address = {Coimbra},
  mrclass = {54C30 (06D20 18B25 26B99 46E25 54B30 54C05)},
  mrnumber = {MR1621835 (99c:54017)},
  mrreviewer = {J. R. Isbell}
}

@ARTICLE{MR1390475,
  author = {Banaschewski, B. and Pultr, A.},
  title = {Cauchy points of uniform and nearness frames},
  journal = {Quaestiones Math.},
  year = {1996},
  volume = {19},
  pages = {101--127},
  number = {1-2},
  fjournal = {Quaestiones Mathematicae. Journal of the South African Mathematical
	Society},
  issn = {0379-9468},
  mrclass = {54E17 (06B99 18B35 54H99)},
  mrnumber = {MR1390475 (97e:54027)},
  mrreviewer = {J. R. Isbell}
}

@ARTICLE{MR1049760,
  author = {Banaschewski, B. and Pultr, A.},
  title = {Samuel compactification and completion of uniform frames},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = {1990},
  volume = {108},
  pages = {63--78},
  number = {1},
  coden = {MPCPCO},
  fjournal = {Mathematical Proceedings of the Cambridge Philosophical Society},
  issn = {0305-0041},
  mrclass = {18B35},
  mrnumber = {MR1049760 (91e:18010)},
  mrreviewer = {Ieke Moerdijk}
}

@INCOLLECTION{barendregt:lcwt,
  author = {Barendregt, H. P.},
  title = {Lambda calculi with types},
  booktitle = {Handbook of logic in computer science, {V}ol.\ 2},
  publisher = {Oxford Univ. Press},
  year = {1992},
  volume = {2},
  series = {Handb. Log. Comput. Sci.},
  pages = {117--309},
  address = {New York},
  mrclass = {03B40 (03-02 03B15 03B20)},
  mrnumber = {MR1381697 (97m:03026)},
  mrreviewer = {Mariangiola Dezani-Ciancaglini}
}

@ARTICLE{barr:coeq-free,
  author = {Barr, Michael},
  title = {Coequalizers and free triples},
  journal = {Math. Z.},
  year = {1970},
  volume = {116},
  pages = {307--322},
  fjournal = {Mathematische Zeitschrift},
  issn = {0025-5874},
  mrclass = {18.10},
  mrnumber = {MR0272849 (42 \#7730)},
  mrreviewer = {J. L. Palmquist}
}

@INCOLLECTION{barr:rel-alg,
  author = {Barr, Michael},
  title = {Relational algebras},
  booktitle = {Reports of the Midwest Category Seminar, IV},
  publisher = {Lecture Notes in Mathematics, Vol. 137. Springer, Berlin},
  year = {1970},
  pages = {39--55},
  mrclass = {08.10 (18.00)},
  mrnumber = {MR0262140 (41 \#6750)},
  mrreviewer = {J. R. Isbell}
}

@INCOLLECTION{barr:coalg-alg,
  author = {Barr, Michael},
  title = {Coalgebras in a category of algebras},
  booktitle = {Category {T}heory, {H}omology {T}heory and their {A}pplications,
	{I} ({B}attelle {I}nstitute {C}onference, {S}eattle, {W}ash., 1968,
	{V}ol. {O}ne)},
  publisher = {Springer},
  year = {1969},
  pages = {1--12},
  address = {Berlin},
  file = {Coalgebras in a category of algebras.pdf:Barr, Michael/Coalgebras
	in a category of algebras.pdf:PDF},
  mrclass = {18.10},
  mrnumber = {MR0244334 (39 \#5649)},
  mrreviewer = {Y. C. Wu}
}

@ARTICLE{bw:ttt,
  author = {Barr, Michael and Wells, Charles},
  title = {Toposes, triples and theories},
  journal = {Repr. Theory Appl. Categ.},
  year = {2005},
  pages = {x+288 pp. (electronic)},
  note = {Corrected reprint of the 1985 original. Available online at \url{http://www.tac.mta.ca/tac/reprints/articles/12/tr12abs.html}},
  fjournal = {Reprints in Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18-02 (03G30 18B25 18C10 18C15)},
  mrnumber = {MR2178101}
}

@ARTICLE{MR1184005,
  author = {Barr, Michael and Wells, Charles},
  title = {On the limitations of sketches},
  journal = {Canad. Math. Bull.},
  year = {1992},
  volume = {35},
  pages = {287--294},
  number = {3},
  coden = {CMBUA3},
  fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques},
  issn = {0008-4395},
  mrclass = {18C10 (18A10)},
  mrnumber = {MR1184005 (93i:18009)}
}

@UNPUBLISHED{bdh:confnets-i,
  author = {Arthur Bartels and Christopher L. Douglas and Andr\'e Henriques},
  title = {Conformal nets {I}: symmetric monoidal 3-categories},
  note = {Preprint},
  year = {2009}
}

@ARTICLE{bartle:cor-nets-filters,
  author = {Bartle, R. G.},
  title = {A correction for ``{N}ets and filters in topology''},
  journal = {Amer. Math. Monthly},
  year = {1963},
  volume = {70},
  pages = {52--53},
  fjournal = {The American Mathematical Monthly},
  issn = {0002-9890},
  mrclass = {54.22},
  mrnumber = {MR0145476 (26 \#3007)},
  mrreviewer = {B. J. Ball}
}

@ARTICLE{bartle:indexed-filter-bases,
  author = {Bartle, R. G.},
  title = {Relations between nets and indexed filter bases},
  journal = {Colloq. Math.},
  year = {1963},
  volume = {10},
  pages = {211--215},
  fjournal = {Colloquium Mathematicum},
  issn = {0010-1354},
  mrclass = {54.22},
  mrnumber = {MR0155285 (27 \#5220)},
  mrreviewer = {M. F. Smiley}
}

@ARTICLE{bartle:nets-filters,
  author = {Bartle, R. G.},
  title = {Nets and filters in topology},
  journal = {Amer. Math. Monthly},
  year = {1955},
  volume = {62},
  pages = {551--557},
  fjournal = {The American Mathematical Monthly},
  issn = {0002-9890},
  mrclass = {56.0X},
  mrnumber = {MR0073153 (17,391c)},
  mrreviewer = {J. L. Kelley}
}

@UNPUBLISHED{barwick:enr-localization,
  author = {Clark Barwick},
  title = {On (Enriched) Left Bousfield Localization of Model Categories},
	year = 				 {2007},
  note = {arXiv:0708.2067}
}

@BOOK{be:the-liar,
  title = {The liar: an essay on truth and circularity},
  publisher = {Oxford University Press},
  year = {1987},
  author = {Jon Barwise and John Etchemendy}
}

@BOOK{bm:vicious-circles,
  title = {Vicious circles},
  publisher = {CSLI Publications},
  year = {1996},
  author = {Barwise, Jon and Moss, Lawrence},
  volume = {60},
  pages = {x+390},
  series = {CSLI Lecture Notes},
  address = {Stanford, CA},
  note = {On the mathematics of non-wellfounded phenomena},
  isbn = {1-57586-009-0; 1-57586-008-2},
  mrclass = {03E70 (68Q99)},
  mrnumber = {MR1423600 (98a:03082)},
  mrreviewer = {M. Randall Holmes}
}

@ARTICLE{multi_funct_i,
  author = {A. Bastiani and C. Ehresmann},
  title = {Multiple Functors {I}. {L}imits Relative to Double Categories},
  journal = {Cahiers de Topologie et Geometrie Differentielle Categoriques},
  year = {1974},
  volume = {15},
  pages = {215--292}
}

@UNPUBLISHED{batanin:cptd-slices,
  author = {Batanin, M.A.},
  title = {Computads and slices of operads},
  note = {arXiv:math/0209035},
  annote = {Gives conditions for computads to be a presheaf category}
}

@MISC{batanin:cptd-fin,
  author = {M.A. Batanin},
  title = {Computads for finitary monads on globular sets},
  year = {1998},
  annote = {Wrongly claims computads are always (presheaf) toposes}
}

@ARTICLE{batanin:monglob,
  author = {Batanin, M. A.},
  title = {Monoidal globular categories as a natural environment for the theory
	of weak {$n$}-categories},
  journal = {Adv. Math.},
  year = {1998},
  volume = {136},
  pages = {39--103},
  number = {1},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18D05 (55P15)},
  mrnumber = {MR1623672 (99f:18010)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{MR1492896,
  author = {Batanin, Mikhail A.},
  title = {Homotopy coherent category theory and {$A\sb \infty$}-structures
	in monoidal categories},
  journal = {J. Pure Appl. Algebra},
  year = {1998},
  volume = {123},
  pages = {67--103},
  number = {1-3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D20 (18D35 55U99)},
  mrnumber = {MR1492896 (99c:18007)},
  mrreviewer = {R. M. Vogt}
}

@ARTICLE{bcw:algop-enr-ii,
  author = {Michael Batanin and Denis-Charles Cisinski and Mark Weber},
  title = {Algebras of higher operads as enriched categories {II}},
  year = {2009},
  month = sep,
  note = {arXiv:0909.4715},
  abstract = {One of the open problems in higher category theory is the systematic
	construction of the higher dimensional analogues of the Gray tensor
	product. In this paper we continue the work of [7] to adapt the machinery
	of globular operads [4] to this task. The resulting theory includes
	the Gray tensor product of 2-categories and the Crans tensor product
	[12] of Gray categories. Moreover much of the previous work on the
	globular approach to higher category theory is simplified by our
	new foundations, and we illustrate this by giving an expedited account
	of many aspects of Cheng's analysis [11] of Trimble's definition
	of weak n-category. By way of application we obtain an "Ekmann-Hilton"
	result for braided monoidal 2-categories, and give the construction
	of a tensor product of A-infinity algebras.},
  comments = {66 pages. In version 2 we corrected the explicit construction of coequalisers
	in categories of algebras from section 7 of version 1. The new appendices
	discuss the background on these transfinite constructions more fully.},
  eprint = {0909.4715},
  oai2identifier = {0909.4715}
}

@ARTICLE{MR2072989,
  author = {Bauer, Andrej and Birkedal, Lars and Scott, Dana S.},
  title = {Equilogical spaces},
  journal = {Theoret. Comput. Sci.},
  year = {2004},
  volume = {315},
  pages = {35--59},
  number = {1},
  coden = {TCSDI},
  fjournal = {Theoretical Computer Science},
  issn = {0304-3975},
  mrclass = {03B15 (18B30 18D15 68Q55)},
  mrnumber = {MR2072989 (2005f:03010)},
  mrreviewer = {Anna Labella}
}

@INCOLLECTION{beck:dl,
  author = {Beck, Jon},
  title = {Distributive laws},
  booktitle = {Sem. on Triples and Categorical Homology Theory (ETH, Z\"urich, 1966/67)},
  publisher = {Springer},
  year = {1969},
  pages = {119--140},
  address = {Berlin},
  mrclass = {18.20},
  mrnumber = {MR0241502 (39 \#2842)},
  mrreviewer = {J. R. Isbell}
}

@INCOLLECTION{MR0248829,
  author = {Beck, Jon},
  title = {On {$H$}-spaces and infinite loop spaces},
  booktitle = {Category Theory, Homology Theory and their Applications, III (Battelle
	Institute Conference, Seattle, Wash., 1968, Vol. Three)},
  publisher = {Springer},
  year = {1969},
  pages = {139--153},
  address = {Berlin},
  mrclass = {55.42 (18.00)},
  mrnumber = {MR0248829 (40 \#2079)},
  mrreviewer = {J. F. Kennison}
}

@ARTICLE{beke:sheafifiable-ii,
  author = {Beke, Tibor},
  title = {Sheafifiable homotopy model categories. {II}},
  journal = {J. Pure Appl. Algebra},
  year = {2001},
  volume = {164},
  pages = {307--324},
  number = {3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18G55 (18B25 55U35)},
  mrnumber = {MR1857744 (2002g:18022)},
  mrreviewer = {David A. Blanc}
}

@ARTICLE{beke:sheafifiable,
  author = {Beke, Tibor},
  title = {Sheafifiable homotopy model categories},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = {2000},
  volume = {129},
  pages = {447--475},
  number = {3},
  coden = {MPCPCO},
  fjournal = {Mathematical Proceedings of the Cambridge Philosophical Society},
  issn = {0305-0041},
  mrclass = {18D15 (03C95 18F20 18G55)},
  mrnumber = {MR1780498 (2001i:18015)},
  mrreviewer = {Masahiko Niwa}
}

@BOOK{bell:sdg,
  title = {A primer of infinitesimal analysis},
  publisher = {Cambridge University Press},
  year = {1998},
  author = {Bell, John L.},
  pages = {xiv+122},
  address = {Cambridge},
  isbn = {0-521-62401-0},
  mrclass = {00A05 (03F55 03H05 26E35)},
  mrnumber = {MR1646123 (99h:00002)},
  mrreviewer = {Detlef Laugwitz}
}

@BOOK{bell:topos-lst,
  title = {Toposes and local set theories},
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  year = {1988},
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@INCOLLECTION{blass:ct-setth,
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@ARTICLE{MR2399477,
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@ARTICLE{MR639047,
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@ARTICLE{MR639048,
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@ARTICLE{MR913203,
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@ARTICLE{MR2156195,
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@ARTICLE{MR899052,
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@ARTICLE{bm:dbl-thin-conn,
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@ARTICLE{bunge:stacks-morita-internal,
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@INCOLLECTION{bunge-dubuc:germ-rep,
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@ARTICLE{bt:total-solid,
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@UNPUBLISHED{cm:disc-topfundgp,
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@ARTICLE{cj:clfrag,
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@ARTICLE{ckw:basechange-i,
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@ARTICLE{cr:lcc-exact,
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@INCOLLECTION{cg:degeneracy-i,
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@UNPUBLISHED{garner:nwfs,
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@ARTICLE{garner:hom-hcat,
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@UNPUBLISHED{gould:symopd,
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@UNPUBLISHED{gg:fib-rel,
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@ARTICLE{grandis:directed-cat-higher,
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@ARTICLE{MR2248226,
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@ARTICLE{grandis:dihtpy-i,
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@ARTICLE{grandis:directed-htpy,
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@ARTICLE{grandis:higher-fgpds,
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@ARTICLE{grandis:htpy-simplcplx,
  author = {Grandis, Marco},
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@ARTICLE{grandis:higher-fundss,
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@ARTICLE{grandis:symss,
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@ARTICLE{gp:laxkan-dbl,
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@ARTICLE{gp:double-adjoints,
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@ARTICLE{gp:double-limits,
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@ARTICLE{gp:kan-xtns-dbl,
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@ARTICLE{gt:nwfs,
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@INCOLLECTION{MR749769,
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  note = {London Mathematical Society Monographs, Vol. 10},
  isbn = {0-12-387850-0},
  mrclass = {18B99 (02K10 18A15 18C99)},
  mrnumber = {MR0470019 (57 \#9791)},
  mrreviewer = {Marta C. Bunge}
}

@ARTICLE{ptj:adjt-lifting,
  author = {Johnstone, Peter T.},
  title = {Adjoint lifting theorems for categories of algebras},
  journal = {Bull. London Math. Soc.},
  year = {1975},
  volume = {7},
  pages = {294--297},
  number = {3},
  fjournal = {The Bulletin of the London Mathematical Society},
  issn = {0024-6093},
  mrclass = {18C10 (02D99)},
  mrnumber = {MR0390018 (52 \#10845)},
  mrreviewer = {C. J. Mikkelsen}
}

@INCOLLECTION{jw:at-toposes,
  author = {Johnstone, Peter T. and Wraith, Gavin C.},
  title = {Algebraic theories in toposes},
  booktitle = {Indexed categories and their applications},
  publisher = {Springer},
  year = {1978},
  volume = {661},
  series = {Lecture Notes in Math.},
  pages = {141--242},
  address = {Berlin},
  mrclass = {18B25 (18C10)},
  mrnumber = {MR514195 (81f:18019)}
}

@UNPUBLISHED{joyal:quasi,
  author = {A. Joyal},
  title = {The theory of quasi-categories},
  note = {In preparation}
}

@Unpublished{joyal:logoi,
  author = 	 {Andre Joyal},
  title = 	 {Notes on logoi},
  note = 	 {\url{http://www.math.uchicago.edu/~may/IMA/JOYAL/Joyal.pdf}},
  year = 	 2008}

@MISC{joyal:fields,
  author = {Andr\'e Joyal},
  title = {From quasi-categories to higher categories},
  howpublished = {Talk at the Fields Institute Workshop on higher categories and their
	applications},
  month = {Jan},
  year = {2007}
}

@ARTICLE{joyal:q_kan,
  author = {A. Joyal},
  title = {Quasi-categories and {K}an complexes},
  journal = {Journal of Pure and Applied Algebra},
  year = {2002},
  volume = {175},
  pages = {207-222}
}

@UNPUBLISHED{joyal:unbdd-cxs-modelstr,
  author = {A.~Joyal},
  title = {Letter to {A}.~{G}rothendieck},
  year = {1984}
}

@ARTICLE{joyal:species,
  author = {Joyal, Andr{\'e}},
  title = {Une th\'eorie combinatoire des s\'eries formelles},
  journal = {Adv. in Math.},
  year = {1981},
  volume = {42},
  pages = {1--82},
  number = {1},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {05A99 (18B99 26B10)},
  mrnumber = {MR633783 (84d:05025)}
}

@ARTICLE{joyal:games,
  author = {Andr{\'e} Joyal},
  title = {Remarques sur la Th\'{e}orie des Jeux \`{a} deus personnes},
  journal = {Gazette des sciences math\'{e}matiques du Qu\'{e}bec},
  year = {1977},
  volume = {1},
  number = {4},
  note = {English translation available at \url{http://www.ma.man.ac.uk/~rhouston/Joyal-games.ps}}
}

@INCOLLECTION{jk:weak-units,
  author = {Joyal, Andr{\'e} and Kock, Joachim},
  title = {Weak units and homotopy 3-types},
  booktitle = {Categories in algebra, geometry and mathematical physics},
  publisher = {Amer. Math. Soc.},
  year = {2007},
  volume = {431},
  series = {Contemp. Math.},
  pages = {257--276},
  address = {Providence, RI},
  mrclass = {18D05 (18D10 55P99)},
  mrnumber = {MR2342833 (2008j:18005)},
  mrreviewer = {Fernando Muro}
}

@BOOK{jm:ast,
  title = {Algebraic set theory},
  publisher = {Cambridge University Press},
  year = {1995},
  author = {Joyal, A. and Moerdijk, I.},
  volume = {220},
  pages = {viii+123},
  series = {London Mathematical Society Lecture Note Series},
  address = {Cambridge},
  isbn = {0-521-55830-1},
  mrclass = {03E70 (03-02 03C90 03F55 03G25 04A10)},
  mrnumber = {MR1368403 (96k:03127)},
  mrreviewer = {Ioan Tofan}
}

@ARTICLE{jm:open-maps,
  author = {Joyal, A. and Moerdijk, I.},
  title = {A completeness theorem for open maps},
  journal = {Ann. Pure Appl. Logic},
  year = {1994},
  volume = {70},
  pages = {51--86},
  number = {1},
  coden = {APALD7},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {03G30 (54C10)},
  mrnumber = {MR1303663 (95j:03104)},
  mrreviewer = {Peter Johnstone}
}

@ARTICLE{jnw:bisim2,
  author = {Joyal, Andr{\'e} and Nielsen, Mogens and Winskel, Glynn},
  title = {Bisimulation from open maps},
  journal = {Inform. and Comput.},
  year = {1996},
  volume = {127},
  pages = {164--185},
  number = {2},
  note = {Special issue dedicated to Paris Christos Kanellakis},
  fjournal = {Information and Computation},
  issn = {0890-5401},
  mrclass = {68Q10 (18B25 68Q05 68Q55 68Q60)},
  mrnumber = {MR1407994 (98f:68082)}
}

@INCOLLECTION{jnw:bisim,
  author = {Joyal, Andr{\'e} and Nielsen, Mogens and Winskel, Glynn},
  title = {Bisimulation and open maps},
  booktitle = {Eighth {A}nnual {IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience
	({M}ontreal, {PQ}, 1993)},
  publisher = {IEEE Comput. Soc. Press},
  year = {1993},
  pages = {418--427},
  address = {Los Alamitos, CA},
  mrclass = {68Q10},
  mrnumber = {MR1238300 (94i:68082)}
}

@ARTICLE{js:brd-tensor,
  author = {Joyal, Andr{\'e} and Street, Ross},
  title = {Braided tensor categories},
  journal = {Adv. Math.},
  year = {1993},
  volume = {102},
  pages = {20--78},
  number = {1},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18D10 (19D23 20G05)},
  mrnumber = {MR1250465 (94m:18008)},
  mrreviewer = {Daniel Conduch{\'e}}
}

@ARTICLE{js:geom-tenscalc-i,
  author = {Joyal, Andr{\'e} and Street, Ross},
  title = {The geometry of tensor calculus. {I}},
  journal = {Adv. Math.},
  year = {1991},
  volume = {88},
  pages = {55--112},
  number = {1},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18G99 (57M05)},
  mrnumber = {MR1113284 (92d:18011)},
  mrreviewer = {Louis H. Kauffman}
}

@Unpublished{js:geom-tenscalc-ii,
  author = 	 {Joyal, Andr{\'e} and Street, Ross},
  title = 	 {The geometry of tensor calculus. {II}},
  note = 	 {Draft available at \url{http://www.math.mq.edu.au/~street/GTCII.pdf}}}

@Unpublished{js:pdta,
  author = 	 {Joyal, Andr{\'e} and Street, Ross},
  title = 	 {Planar diagrams and tensor algebra},
  note = 	 {Draft available at \url{http://www.math.mq.edu.au/~street/PlanarDiags.pdf}}}

@ARTICLE{jsv:traced-moncat,
  author = {Joyal, Andr{\'e} and Street, Ross and Verity, Dominic},
  title = {Traced monoidal categories},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = {1996},
  volume = {119},
  pages = {447--468},
  number = {3},
  coden = {MPCPCO},
  fjournal = {Mathematical Proceedings of the Cambridge Philosophical Society},
  issn = {0305-0041},
  mrclass = {18D10 (03B70 19D23 57M25 68Q55)},
  mrnumber = {MR1357057 (96m:18014)},
  mrreviewer = {R. Gylys}
}

@INCOLLECTION{jt:strong-stacks,
  author = {Joyal, Andr{\'e} and Tierney, Myles},
  title = {Strong stacks and classifying spaces},
  booktitle = {Category theory (Como, 1990)},
  publisher = {Springer},
  year = {1991},
  volume = {1488},
  series = {Lecture Notes in Math.},
  pages = {213--236},
  address = {Berlin},
  mrclass = {18G55 (18B25)},
  mrnumber = {MR1173014 (93h:18019)},
  mrreviewer = {Kimmo I. Rosenthal}
}

@ARTICLE{jt:galois,
  author = {Joyal, Andr{\'e} and Tierney, Myles},
  title = {An extension of the {G}alois theory of {G}rothendieck},
  journal = {Mem. Amer. Math. Soc.},
  year = {1984},
  volume = {51},
  pages = {vii+71},
  number = {309},
  coden = {MAMCAU},
  fjournal = {Memoirs of the American Mathematical Society},
  issn = {0065-9266},
  mrclass = {18B25 (06D20 13B05 14A20 18D15 54A05 54C10)},
  mrnumber = {MR756176 (86d:18002)},
  mrreviewer = {Peter Johnstone}
}

@ARTICLE{MR1822840,
  author = {J{\"u}rjens, Jan},
  title = {On a problem of {G}abriel and {U}lmer},
  journal = {J. Pure Appl. Algebra},
  year = {2001},
  volume = {158},
  pages = {183--196},
  number = {2-3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18C10 (18A40)},
  mrnumber = {MR1822840 (2002c:18003)},
  mrreviewer = {Walter Tholen}
}

@BOOK{kanamori:higher-infinite,
  title = {The higher infinite},
  publisher = {Springer-Verlag},
  year = {2003},
  author = {Kanamori, Akihiro},
  pages = {xxii+536},
  series = {Springer Monographs in Mathematics},
  address = {Berlin},
  edition = {Second},
  note = {Large cardinals in set theory from their beginnings},
  isbn = {3-540-00384-3},
  mrclass = {03E55 (01A55 01A60 03-02 03-03)},
  mrnumber = {MR1994835 (2004f:03092)}
}

@ARTICLE{kv:bm2cat,
  author = {Kapranov, M. and Voevodsky, V.},
  title = {Braided monoidal {$2$}-categories and {M}anin-{S}chechtman higher
	braid groups},
  journal = {J. Pure Appl. Algebra},
  year = {1994},
  volume = {92},
  pages = {241--267},
  number = {3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05 (20F36 57M05)},
  mrnumber = {MR1266348 (95a:18006)},
  mrreviewer = {J. Stasheff}
}

@INCOLLECTION{kv:2cat-zam,
  author = {Kapranov, M. M. and Voevodsky, V. A.},
  title = {{$2$}-categories and {Z}amolodchikov tetrahedra equations},
  booktitle = {Algebraic groups and their generalizations: quantum and infinite-dimensional
	methods ({U}niversity {P}ark, {PA}, 1991)},
  publisher = {Amer. Math. Soc.},
  year = {1994},
  volume = {56},
  series = {Proc. Sympos. Pure Math.},
  pages = {177--259},
  address = {Providence, RI},
  mrclass = {18D05 (17B37 81R50)},
  mrnumber = {MR1278735 (95f:18011)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{bv:infgpd-hotypes,
  author = {Kapranov, M. M. and Voevodsky, V. A.},
  title = {{$\infty$}-groupoids and homotopy types},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
  year = {1991},
  volume = {32},
  pages = {29--46},
  number = {1},
  note = {International Category Theory Meeting (Bangor, 1989 and Cambridge,
	1990)},
  annote = {Appears to be wrong; see arXiv:math/9810059},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {0008-0004},
  mrclass = {55P15 (18D05 55U10)},
  mrnumber = {MR1130401 (93c:55006)},
  mrreviewer = {Ronald Brown}
}

@ARTICLE{MR866936,
  author = {Kasangian, S.},
  title = {{$B$}-categories and gamuts},
  journal = {Diagrammes},
  year = {1986},
  volume = {15},
  pages = {K1--K13},
  fjournal = {Diagrammes},
  issn = {0224-3911},
  mrclass = {18D20 (18B20 18D05 68Q05)},
  mrnumber = {MR866936 (88i:18006)},
  mrreviewer = {R. H. Street}
}

@BOOK{ks:shvs-mfds,
  title = {Sheaves on manifolds},
  publisher = {Springer-Verlag},
  year = {1990},
  author = {Kashiwara, Masaki and Schapira, Pierre},
  volume = {292},
  pages = {x+512},
  series = {Grundlehren der Mathematischen Wissenschaften [Fundamental Principles
	of Mathematical Sciences]},
  address = {Berlin},
  note = {With a chapter in French by Christian Houzel},
  isbn = {3-540-51861-4},
  mrclass = {58G07 (18F20 32C38 35A27)},
  mrnumber = {MR1299726 (95g:58222)}
}

@ARTICLE{MR0193608,
  author = {Kat{\v{e}}tov, M.},
  title = {On continuity structures and spaces of mappings},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1965},
  volume = {6},
  pages = {257--278},
  fjournal = {Commentationes Mathematicae Universitatis Carolinae},
  issn = {0010-2628},
  mrclass = {54.28},
  mrnumber = {MR0193608 (33 \#1826)},
  mrreviewer = {D. Bushaw}
}

@BOOK{kelley:gen-top,
  title = {General topology},
  publisher = {Springer-Verlag},
  year = {1975},
  author = {Kelley, John L.},
  pages = {xiv+298},
  address = {New York},
  note = {Reprint of the 1955 edition [Van Nostrand, Toronto, Ont.], Graduate
	Texts in Mathematics, No. 27},
  mrclass = {54-XX},
  mrnumber = {MR0370454 (51 \#6681)}
}

@ARTICLE{kelley:convergence,
  author = {Kelley, J. L.},
  title = {Convergence in topology},
  journal = {Duke Math. J.},
  year = {1950},
  volume = {17},
  pages = {277--283},
  fjournal = {Duke Mathematical Journal},
  issn = {0012-7094},
  mrclass = {56.0X},
  mrnumber = {MR0036982 (12,194f)},
  mrreviewer = {C. E. Rickart}
}

@ARTICLE{kelly:operads,
  author = {Kelly, G. M.},
  title = {On the operads of {J}. {P}. {M}ay},
  journal = {Repr. Theory Appl. Categ.},
  year = {2005},
  pages = {1--13 (electronic)},
  number = {13},
  fjournal = {Reprints in Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18D50 (18C15 18D10 18D20)},
  mrnumber = {MR2177746 (2006f:18005)},
  mrreviewer = {Agust{\'{\i}} Roig}
}

@INCOLLECTION{kelly:club-dt,
  author = {Kelly, G. M.},
  title = {On clubs and data-type constructors},
  booktitle = {Applications of categories in computer science ({D}urham, 1991)},
  publisher = {Cambridge Univ. Press},
  year = {1992},
  volume = {177},
  series = {London Math. Soc. Lecture Note Ser.},
  pages = {163--190},
  address = {Cambridge},
  mrclass = {68Q55 (18D15)},
  mrnumber = {MR1176963 (93j:68120)},
  mrreviewer = {Eugenio Moggi}
}

@ARTICLE{kelly:2limits,
  author = {G. M. Kelly},
  title = {Elementary observations on 2-categorical limits},
  journal = {Bull. Austral. Math. Soc},
  year = {1989},
  volume = {39},
  pages = {301--317},
  number = {2}
}

@ARTICLE{kelly:totality,
  author = {Kelly, G. M.},
  title = {A survey of totality for enriched and ordinary categories},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
  year = {1986},
  volume = {27},
  pages = {109--132},
  number = {2},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {0008-0004},
  mrclass = {18D20 (18A35 18A40)},
  mrnumber = {MR850527 (87k:18009)},
  mrreviewer = {Walter Tholen}
}

@ARTICLE{kelly:enr-lfp,
  author = {Kelly, G. M.},
  title = {Structures defined by finite limits in the enriched context. {I}},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1982},
  volume = {23},
  pages = {3--42},
  number = {1},
  note = {Third Colloquium on Categories, Part VI (Amiens, 1980)},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18D15 (18D20)},
  mrnumber = {MR648793 (83h:18007)},
  mrreviewer = {Walter Tholen}
}

@BOOK{kelly:enriched,
  title = {Basic concepts of enriched category theory},
  publisher = {Cambridge University Press},
  year = {1982},
  author = {G. M. Kelly},
  volume = {64},
  series = {London Mathematical Society Lecture Note Series},
  note = {Also available online in Reprints in Theory and Applications of Categories, No. 10 (2005) pp. 1-136}
}

@ARTICLE{kelly:transfinite-add,
  author = {Kelly, G. M.},
  title = {Two addenda: ``{A} unified treatment of transfinite constructions
	for free algebras, free monoids, colimits, associated sheaves and
	so on'' [{B}ull. {A}ustral. {M}ath. {S}oc. {\bf 22} (1980), no. 1,
	1--83;\ {MR} 82h:18003]},
  journal = {Bull. Austral. Math. Soc.},
  year = {1982},
  volume = {26},
  pages = {221--237},
  number = {2},
  coden = {ALNBAB},
  fjournal = {Bulletin of the Australian Mathematical Society},
  issn = {0004-9727},
  mrclass = {18C15 (18A40)},
  mrnumber = {MR683654 (84a:18011)},
  mrreviewer = {V{\'a}clav Koubek}
}

@ARTICLE{kelly:transfinite,
  author = {Kelly, G. M.},
  title = {A unified treatment of transfinite constructions for free algebras,
	free monoids, colimits, associated sheaves, and so on},
  journal = {Bull. Austral. Math. Soc.},
  year = {1980},
  volume = {22},
  pages = {1--83},
  number = {1},
  coden = {ALNBAB},
  fjournal = {Bulletin of the Australian Mathematical Society},
  issn = {0004-9727},
  mrclass = {18C15 (18A40)},
  mrnumber = {MR589937 (82h:18003)},
  mrreviewer = {V{\'a}clav Koubek}
}

@Misc{nlab:transfinite,
  author = 	 {{nLab authors}},
  title = 	 {Transfinite construction of free algebras},
  howpublished = {\url{https://ncatlab.org/nlab/show/transfinite+construction+of+free+algebras}}}

@ARTICLE{MR578566,
  author = {Kelly, G. M.},
  title = {Examples of nonmonadic structures on categories},
  journal = {J. Pure Appl. Algebra},
  year = {1980},
  volume = {18},
  pages = {59--66},
  number = {1},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D15 (18C20)},
  mrnumber = {MR578566 (82e:18013)},
  mrreviewer = {Walter Tholen}
}

@INCOLLECTION{kelly:club-doc,
  author = {Kelly, G. M.},
  title = {On clubs and doctrines},
  booktitle = {Category Seminar (Proc. Sem., Sydney, 1972/1973)},
  publisher = {Springer},
  year = {1974},
  pages = {181--256. Lecture Notes in Math., Vol. 420},
  address = {Berlin},
}

@INCOLLECTION{kelly:coh-lax,
  author = {Kelly, G. M.},
  title = {Coherence theorems for lax algebras and for distributive laws},
  booktitle = {Category Seminar (Proc. Sem., Sydney, 1972/1973)},
  publisher = {Springer},
  year = {1974},
  pages = {281--375. Lecture Notes in Math., Vol. 420},
  address = {Berlin},
  mrclass = {18D05},
  mrnumber = {MR0364394 (51 \#648)},
  mrreviewer = {M. L. Laplaza}
}

@INCOLLECTION{kelly:doc-adjn,
  author = {Kelly, G. M.},
  title = {Doctrinal adjunction},
  booktitle = {Category Seminar (Proc. Sem., Sydney, 1972/1973)},
  publisher = {Springer},
  year = {1974},
  pages = {257--280. Lecture Notes in Math., Vol. 420},
  address = {Berlin},
  mrclass = {18D99},
  mrnumber = {MR0360749 (50 \#13196)},
  mrreviewer = {A. Shafaat}
}

@INCOLLECTION{kelly:abst-coh,
  author = {Kelly, G. M.},
  title = {An abstract approach to coherence},
  booktitle = {Coherence in categories},
  publisher = {Springer},
  year = {1972},
  pages = {106--147. Lecture Notes in Math., Vol. 281},
  address = {Berlin},
  mrclass = {18D15},
  mrnumber = {MR0340372 (49 \#5127)},
  mrreviewer = {M. L. Laplaza}
}

@INCOLLECTION{kelly:mv-funct-calc,
  author = {Kelly, G. M.},
  title = {Many-variable functorial calculus. {I}},
  booktitle = {Coherence in categories},
  publisher = {Springer},
  year = {1972},
  pages = {66--105. Lecture Notes in Math., Vol. 281},
  address = {Berlin},
  mrclass = {18D15},
  mrnumber = {MR0340371 (49 \#5126)},
  mrreviewer = {M. L. Laplaza}
}

@INCOLLECTION{kelly:cutelim,
  author = {Kelly, G. M.},
  title = {A cut-elimination theorem},
  booktitle = {Coherence in categories},
  publisher = {Springer},
  year = {1972},
  pages = {196--213. Lecture Notes in Math., Vol. 281},
  address = {Berlin},
}

@ARTICLE{kelly:mono-epi-pb,
  author = {Kelly, G. M.},
  title = {Monomorphisms, epimorphisms, and pull-backs},
  journal = {J. Austral. Math. Soc.},
  year = {1969},
  volume = {9},
  pages = {124--142},
  fjournal = {Australian Mathematical Society. Journal. Series A. Pure Mathematics
	and Statistics},
  issn = {0263-6115},
  mrclass = {18.10},
  mrnumber = {MR0240161 (39 \#1515)},
  mrreviewer = {Y. C. Wu}
}

@ARTICLE{kelly:assoc,
  author = {Kelly, G. M.},
  title = {On {M}ac{L}ane's conditions for coherence of natural associativities, commutativities, etc},
  journal = {J. Algebra},
  year = {1964},
  volume = {1},
  pages = {397--402},
  fjournal = {Journal of Algebra},
  issn = {0021-8693},
  mrclass = {18.10},
  mrnumber = {MR0182649 (32 \#132)},
  mrreviewer = {M. Auslander}
}

@ARTICLE{kk:large-lim,
  author = {Kelly, G. M. and Koubek, V.},
  title = {The large limits that all good categories admit},
  journal = {J. Pure Appl. Algebra},
  year = {1981},
  volume = {22},
  pages = {253--263},
  number = {3},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18A20 (18A35)},
  mrnumber = {MR629334 (82j:18002)},
  mrreviewer = {M. Barr}
}

@ARTICLE{kl:vcat-locpres,
  author = {Kelly, G. M. and Lack, Stephen},
  title = {{$\mathscr{V}$}-{C}at is locally presentable or locally bounded if
	{$\mathscr{V}$} is so},
  journal = {Theory Appl. Categ.},
  year = {2001},
  volume = {8},
  pages = {555--575 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18C35 (18D20)},
  mrnumber = {MR1870617 (2002k:18006)},
  mrreviewer = {Kimmo I. Rosenthal}
}

@ARTICLE{kl:property-like,
  author = {G. M. Kelly and Stephen Lack},
  title = {On property-like structures},
  journal = {Theory Appl. Categ.},
  year = {1997},
  volume = {3},
  pages = {213--250},
  number = {9}
}

@ARTICLE{kl:strongly-finitary,
  author = {Kelly, G. M. and Lack, Stephen},
  title = {Finite-product-preserving functors, {K}an extensions and strongly-finitary
	{$2$}-monads},
  journal = {Appl. Categ. Structures},
  year = {1993},
  volume = {1},
  pages = {85--94},
  number = {1},
  coden = {ACASE6},
  fjournal = {Applied Categorical Structures. A Journal Devoted to Applications
	of Categorical Methods in Algebra, Analysis, Order, Topology and
	Computer Science},
  issn = {0927-2852},
  mrclass = {18C15 (18A40 18D20)},
  mrnumber = {MR1245794 (94k:18009)}
}

@ARTICLE{klw:refl-coinv,
  author = {Kelly, G. M. and Lack, Stephen and Walters, R.F.C.},
  title = {Coinverters and categories of fractions for categories with structure},
  journal = {Appl. Categ. Structures},
  year = {1993},
  volume = {1},
  pages = {95--102},
  number = {1},
  coden = {ACASE6},
  doi = {10.1007/BF00872988},
  fjournal = {Applied Categorical Structures. A Journal Devoted to Applications
	of Categorical Methods in Algebra, Analysis, Order, Topology and
	Computer Science},
  issn = {0927-2852},
  mrclass = {18D99 (18A30 18A35)},
  mrnumber = {MR1245795 (94k:18012)},
  url = {http://dx.doi.org/10.1007/BF00872988}
}

@ARTICLE{kl:cpt,
  author = {G. M. Kelly and M. L. Laplaza},
  title = {Coherence for compact closed categories},
  journal = {J. Pure Appl. Algebra},
  year = {1980},
  volume = {19},
  pages = {193--213}
}

@ARTICLE{kp:note-closure,
  author = {Kelly, G. M. and Par{\'e}, Robert},
  title = {A note on the {M}. {H}. {A}lbert-{G}. {M}. {K}elly paper: ``{T}he
	closure of a class of colimits'' [{J}. {P}ure {A}ppl.\ {A}lgebra
	{\bf 51} (1988), no.\ 1, 1--17]},
  journal = {J. Pure Appl. Algebra},
  year = {1988},
  volume = {51},
  pages = {19--25},
  number = {1-2},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18A35 (18A30 18D15)},
  mrnumber = {MR941886 (89g:18003b)},
  mrreviewer = {Walter Tholen}
}

@ARTICLE{finitary-monads,
  author = {G. M. Kelly and A. J. Power},
  title = {Adjunctions whose counits are coequalizers, and presentations of
	finitary enriched monads},
  journal = {J. Pure Appl. Algebra},
  year = {1993},
  volume = {89},
  pages = {163--179},
  number = {1-2}
}

@ARTICLE{MR2211425,
  author = {Kelly, G. M. and Schmitt, V.},
  title = {Notes on enriched categories with colimits of some class},
  journal = {Theory Appl. Categ.},
  year = {2005},
  volume = {14},
  pages = {no. 17, 399--423 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18A35 (18C35 18D20)},
  mrnumber = {MR2211425 (2006k:18003)},
  mrreviewer = {Stephen Lack}
}

@INPROCEEDINGS{ks:r2cats,
  author = {G. M. Kelly and Ross Street},
  title = {Review of the elements of $2$-categories},
  booktitle = {Category Seminar (Proc. Sem., Sydney, 1972/1973)},
  year = {1974},
  volume = {420},
  series = {Lecture Notes in Math.},
  pages = {75--103},
  publisher = {Springer, Berlin}
}

@ARTICLE{2sided-enrichment,
  author = {Kelly, Max and Labella, Anna and Schmitt, Vincent and Street, Ross},
  title = {Categories enriched on two sides},
  journal = {J. Pure Appl. Algebra},
  year = {2002},
  volume = {168},
  pages = {53--98},
  number = {1},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05 (18D20)},
  mrnumber = {MR1879931 (2003f:18006)},
  mrreviewer = {Marta C. Bunge}
}

@ARTICLE{kennedy:nets-filters,
  author = {Kennedy, Maurice},
  title = {The connection between nets and filters},
  journal = {Irish Math. Soc. Newslett.},
  year = {1984},
  pages = {24--28},
  number = {11},
  fjournal = {Irish Mathematical Society Newsletter},
  mrclass = {54A20 (03E25)},
  mrnumber = {MR762005 (86a:54002)},
  mrreviewer = {P. Kratochv{\'{\i}}l}
}

@ARTICLE{kp:lax-nat-enr,
  author = {Kinoshita, Yoshiki and Power, John},
  title = {Lax naturality through enrichment},
  journal = {J. Pure Appl. Algebra},
  year = {1996},
  volume = {112},
  pages = {53--72},
  number = {1},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18C15 (18D10)},
  mrnumber = {MR1402396 (98f:18010)}
}

@ARTICLE{kisynski:conv-typel,
  author = {Kisy{\'n}ski, J.},
  title = {Convergence du type {${\cal L}$}},
  journal = {Colloq. Math.},
  year = {1959/1960},
  volume = {7},
  pages = {205--211},
  fjournal = {Colloquium Mathematicum},
  issn = {0010-1354},
  mrclass = {54.22},
  mrnumber = {MR0123287 (23 \#A615)},
  mrreviewer = {P. Dedecker}
}

@UNPUBLISHED{kock:postulated,
  author = {Anders Kock},
  title = {Postulated colimits and left exactness of {K}an-extensions},
  note = {Aarhus Preprint 1989/90 no. 9, Retyped in TeX in the fall of 2003.
	Available at \url{http://home.imf.au.dk/kock/}},
  year = 	 1989
}

@ARTICLE{kock:kzmonads,
  author = {Kock, Anders},
  title = {Monads for which structures are adjoint to units},
  journal = {J. Pure Appl. Algebra},
  year = {1995},
  volume = {104},
  pages = {41--59},
  number = {1},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05 (18A35 18C15)},
  mrnumber = {MR1359690 (96k:18009)},
  mrreviewer = {R. H. Street}
}

@BOOK{kock:sdg,
  title = {Synthetic differential geometry},
  publisher = {Cambridge University Press},
  year = {1981},
  author = {Kock, Anders},
  volume = {51},
  pages = {vi+311},
  series = {London Mathematical Society Lecture Note Series},
  address = {Cambridge},
  isbn = {0-521-24138-3},
  mrclass = {51K10 (03F55 03G30 18F15 58A05)},
  mrnumber = {MR649622 (83f:51023)},
  mrreviewer = {Gavin Wraith}
}

@ARTICLE{kock:strfunc-monmnd,
  author = {Kock, Anders},
  title = {Strong functors and monoidal monads},
  journal = {Arch. Math. (Basel)},
  year = {1972},
  volume = {23},
  pages = {113--120},
  fjournal = {Archiv der Mathematik},
  issn = {0003-889X},
  mrclass = {18D10},
  mrnumber = {MR0304456 (46 \#3591)},
  mrreviewer = {J. R. Isbell}
}

@ARTICLE{kock:bilin-ccmnd,
  author = {Kock, Anders},
  title = {Bilinearity and {C}artesian closed monads},
  journal = {Math. Scand.},
  year = {1971},
  volume = {29},
  pages = {161--174 (1972)},
  fjournal = {Mathematica Scandinavica},
  issn = {0025-5521},
  mrclass = {18D15},
  mrnumber = {MR0310038 (46 \#9141)},
  mrreviewer = {J. R. Isbell}
}

@ARTICLE{kock:cc-commnd,
  author = {Kock, Anders},
  title = {Closed categories generated by commutative monads},
  journal = {J. Austral. Math. Soc.},
  year = {1971},
  volume = {12},
  pages = {405--424},
  fjournal = {Australian Mathematical Society. Journal. Series A. Pure Mathematics
	and Statistics},
  issn = {0263-6115},
  mrclass = {18D15},
  mrnumber = {MR0296129 (45 \#5190)},
  mrreviewer = {J. R. Isbell}
}

@ARTICLE{kock:dbldual-mnd,
  author = {Kock, Anders},
  title = {On double dualization monads},
  journal = {Math. Scand.},
  year = {1970},
  volume = {27},
  pages = {151--165 (1971)},
  fjournal = {Mathematica Scandinavica},
  issn = {0025-5521},
  mrclass = {18C15},
  mrnumber = {MR0347935 (50 \#435)},
  mrreviewer = {G. M. Kelly}
}

@ARTICLE{kock:mnd-smcc,
  author = {Kock, Anders},
  title = {Monads on symmetric monoidal closed categories},
  journal = {Arch. Math. (Basel)},
  year = {1970},
  volume = {21},
  pages = {1--10},
  fjournal = {Archiv der Mathematik},
  issn = {0003-889X},
  mrclass = {18.10},
  mrnumber = {MR0260825 (41 \#5446)},
  mrreviewer = {Y. C. Wu}
}

@BOOK{MR0280562,
  title = {Strong functors and monoidal monads},
  publisher = {Matematisk Institut, Aarhus Universitet, Aarhus},
  year = {1970},
  author = {Kock, Anders},
  pages = {i+20},
  series = {Various Publication Series, No. 11},
  mrclass = {18.10},
  mrnumber = {MR0280562 (43 \#6282)},
  mrreviewer = {M. Tierney}
}

@article {kock:weakids,
    AUTHOR = {Kock, Joachim},
     TITLE = {Weak identity arrows in higher categories},
   JOURNAL = {IMRP Int. Math. Res. Pap.},
  FJOURNAL = {IMRP. International Mathematics Research Papers},
      YEAR = {2006},
     PAGES = {69163, 1--54},
      ISSN = {1687-3017},
   MRCLASS = {18D05},
  MRNUMBER = {2210659 (2006k:18010)},
MRREVIEWER = {Fernando Muro},
  eprint = {arXiv:math/0507116}
}

@BOOK{jk:frob-2dtqft,
  title = {Frobenius algebras and 2{D} topological quantum field theories},
  publisher = {Cambridge University Press},
  year = {2004},
  author = {Kock, Joachim},
  volume = {59},
  pages = {xiv+240},
  series = {London Mathematical Society Student Texts},
  address = {Cambridge},
  isbn = {0-521-83267-5; 0-521-54031-3},
  mrclass = {57R56 (16L60 18D10 53D45 81T45)},
  mrnumber = {MR2037238 (2005a:57028)},
  mrreviewer = {Lowell Abrams}
}

@ARTICLE{koslowski:polycats,
  author = {Koslowski, J{\"u}rgen},
  title = {A monadic approach to polycategories},
  journal = {Theory Appl. Categ.},
  year = {2005},
  volume = {14},
  pages = {No. 7, 125--156 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18C15 (18D05)},
  mrnumber = {MR2156193 (2006d:18003)},
  mrreviewer = {Steve Awodey}
}

@ARTICLE{kgvo:ast-eff,
  author = {Kouwenhoven-Gentil, Claire and van Oosten, Jaap},
  title = {Algebraic set theory and the effective topos},
  journal = {J. Symbolic Logic},
  year = {2005},
  volume = {70},
  pages = {879--890},
  number = {3},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03E70 (03F55 03G25 03G30 18B25)},
  mrnumber = {MR2155270 (2007a:03069)}
}

@INCOLLECTION{MR0177866,
  author = {Kreisel,Georg},
  title = {Mathematical logic},
  booktitle = {Lectures on Modern Mathematics, Vol. III},
  publisher = {Wiley},
  year = {1965},
  pages = {95--195},
  address = {New York},
  mrclass = {02.00},
  mrnumber = {MR0177866 (31 \#2124)}
}

@ARTICLE{kl:reflection,
  author = {Kreisel, G. and L{\'e}vy, A.},
  title = {Reflection principles and their use for establishing the complexity
	of axiomatic systems},
  journal = {Z. Math. Logik Grundlagen Math.},
  year = {1968},
  volume = {14},
  pages = {97--142},
  annote = {Levy},
  fjournal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
  mrclass = {02.50},
  mrnumber = {MR0228333 (37 \#3914)},
  mrreviewer = {W. Schwabh{\"a}user}
}

@UNPUBLISHED{krishnan:convenient-pospaces,
  author = {Sanjeevi Krishnan},
  title = {A convenient category of locally preordered spaces},
  note = {preprint},
  eprint = {arXiv:0709.3646}
}

@BOOK{kromer:tool-object,
  title = {Tool and object},
  publisher = {Birkh\"auser Verlag},
  year = {2007},
  author = {Kr{\"o}mer, Ralf},
  volume = {32},
  pages = {xxxvi+367},
  series = {Science Networks. Historical Studies},
  address = {Basel},
  note = {A history and philosophy of category theory},
  isbn = {978-3-7643-7523-2; 3-7643-7523-X},
  mrclass = {01A60 (00A30 03-03 03A05 18-03)},
  mrnumber = {MR2272843}
}

@BOOK{kunen:set-theory,
  title = {Set theory: an introduction to independence proofs},
  publisher = {North-Holland Publishing Co.},
  year = {1980},
  author = {Kunen, Kenneth},
  volume = {102},
  pages = {xvi+313},
  series = {Studies in Logic and the Foundations of Mathematics},
  address = {Amsterdam},
  isbn = {0-444-85401-0},
  mrclass = {03-02 (03E35 03Exx 04-02)},
  mrnumber = {MR597342 (82f:03001)},
  mrreviewer = {U. Felgner}
}

@BOOK{kk:nsa,
  title = {Nonstandard Methods of Analysis},
  publisher = {Kluwer Academic Publishers},
  year = {1994},
  author = {Anatoly G. Kusraev and Semen S. Kutateladze},
  volume = {291},
  series = {Mathematics and Its Applications},
  address = {P.O. Box 17, 3300 AA Dordrecht, The Netherlands}
}

@ARTICLE{km:oamm,
  author = {K{\v{r}}{\'{\i}}{\v{z}}, Igor and May, J. P.},
  title = {Operads, algebras, modules and motives},
  journal = {Ast\'erisque},
  year = {1995},
  pages = {iv+145pp},
  number = {233},
  fjournal = {Ast\'erisque},
  issn = {0303-1179},
  mrclass = {18G99 (14F99 19E99 55U99)},
  mrnumber = {MR1361938 (96j:18006)},
  mrreviewer = {J. P. C. Greenlees}
}

@INPROCEEDINGS{steve:companion,
  author = {Stephen Lack},
  title = {A 2-categories companion},
  booktitle = {Towards Higher Categories},
  year = 2009,
  editor = {John C.~Baez and J. Peter May},
  volume = 152,
  series = {The IMA Volumes in Mathematics and its Applications},
  pages = {105--192},
  publisher = {Springer},
  note = {arXiv:math.CT/0702535}
}

@ARTICLE{lack:icons,
  author = {Stephen Lack},
  title = {Icons},
  journal = {Appl. Categ. Structures},
  year = {2010},
  volume = {18},
  pages = {289--307},
  number = {3},
  note = {arXiv:0711.4657},
  comments = {23 pages},
  eprint = {0711.4657},
  oai2identifier = {0711.4657}
}

@ARTICLE{lack:bicat-neq-gray,
  author = {Lack, Stephen},
  title = {Bicat is not triequivalent to {G}ray},
  journal = {Theory Appl. Categ.},
  year = {2007},
  volume = {18},
  pages = {No. 1, 1--3 (electronic)},
  eprint = {arXiv:math/0612299},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18D05},
  mrnumber = {MR2276246}
}

@ARTICLE{lack:htpy-2monads,
  author = {Lack, Stephen},
  title = {Homotopy-theoretic aspects of 2-monads},
  journal = {J. Homotopy Relat. Struct.},
  year = {2007},
  volume = {2},
  pages = {229--260},
  number = {2},
  fjournal = {Journal of Homotopy and Related Structures},
  mrclass = {18D05 (18C15 18G55)},
  mrnumber = {MR2369168 (2008m:18006)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{lack:lim-lax,
  author = {Lack, Stephen},
  title = {Limits for lax morphisms},
  journal = {Appl. Categ. Structures},
  year = {2005},
  volume = {13},
  pages = {189--203},
  number = {3},
  coden = {ACASE6},
  fjournal = {Applied Categorical Structures. A Journal Devoted to Applications
	of Categorical Methods in Algebra, Analysis, Order, Topology and
	Computer Science},
  issn = {0927-2852},
  mrclass = {18D05 (18A30 18C15)},
  mrnumber = {MR2167789 (2006h:18003)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{lack:model-bicats,
  author = {Lack, Stephen},
  title = {A {Q}uillen model structure for bicategories},
  journal = {$K$-Theory},
  year = {2004},
  volume = {33},
  pages = {185--197},
  number = {3},
  coden = {KTHEEO},
  fjournal = {$K$-Theory. An Interdisciplinary Journal for the Development, Application,
	and Influence of $K$-Theory in the Mathematical Sciences},
  issn = {0920-3036},
  mrclass = {55U35 (18D05 18D15 18G55)},
  mrnumber = {MR2138540 (2006a:55021)},
  mrreviewer = {J\v{\i} r{\'{\i}} Rosick{\'y}}
}

@ARTICLE{lack:codescent-coh,
  author = {Lack, Stephen},
  title = {Codescent objects and coherence},
  journal = {J. Pure Appl. Algebra},
  year = {2002},
  volume = {175},
  pages = {223--241},
  number = {1-3},
  note = {Special volume celebrating the 70th birthday of Professor Max Kelly},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18C15 (18A30 18C20 18D05)},
  mrnumber = {MR1935980 (2003k:18008)}
}

@ARTICLE{lack:model-2cats,
  author = {Lack, Stephen},
  title = {A {Q}uillen model structure for 2-categories},
  journal = {$K$-Theory},
  year = {2002},
  volume = {26},
  pages = {171--205},
  number = {2},
  coden = {KTHEEO},
  fjournal = {$K$-Theory. An Interdisciplinary Journal for the Development, Application,
	and Influence of $K$-Theory in the Mathematical Sciences},
  issn = {0920-3036},
  mrclass = {55U35 (18D05 18G55)},
  mrnumber = {MR1931220 (2003m:55028)},
  mrreviewer = {J. Daniel Christensen}
}

@ARTICLE{lack:psmonads,
  author = {Lack, Stephen},
  title = {A coherent approach to pseudomonads},
  journal = {Adv. Math.},
  year = {2000},
  volume = {152},
  pages = {179--202},
  number = {2},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18D10},
  mrnumber = {MR1764104 (2001f:18017)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{lack:exreg-inf,
  author = {Lack, Stephen},
  title = {A note on the exact completion of a regular category, and its infinitary
	generalizations},
  journal = {Theory Appl. Categ.},
  year = {1999},
  volume = {5},
  pages = {No.~3, 70--80 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18A35 (18A40 18E10 18F20)},
  mrnumber = {MR1667314 (99j:18004)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{lack:finitary,
  author = {Stephen Lack},
  title = {On the monadicity of finitary monads},
  journal = {J. Pure Appl. Algebra},
  year = {1999},
  volume = {140},
  pages = {65--73},
  number = {1}
}

@ARTICLE{lp:2nerves,
  author = {Lack, Stephen and Paoli, Simona},
  title = {2-nerves for bicategories},
  journal = {$K$-Theory},
  year = {2008},
  volume = {38},
  pages = {153--175},
  number = {2},
  coden = {KTHEEO},
  doi = {10.1007/s10977-007-9013-2},
  fjournal = {$K$-Theory. An Interdisciplinary Journal for the Development, Application,
	and Influence of $K$-Theory in the Mathematical Sciences},
  issn = {0920-3036},
  mrclass = {18D05},
  mrnumber = {MR2366560 (2009b:18009)},
  mrreviewer = {J\v{\i}r{\'{\i}} Rosick{\'y}},
  url = {http://dx.doi.org/10.1007/s10977-007-9013-2}
}

@ARTICLE{ls:ftm2,
  author = {Lack, Stephen and Street, Ross},
  title = {The formal theory of monads. {II}},
  journal = {J. Pure Appl. Algebra},
  year = {2002},
  volume = {175},
  pages = {243--265},
  number = {1-3},
  note = {Special volume celebrating the 70th birthday of Professor Max Kelly},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18C20 (18A35 18C15 18D05 18G15)},
  mrnumber = {MR1935981 (2003m:18007)}
}

@ARTICLE{lv:cplt-extnsiv,
  author = {Lack, Stephen and Vitale, E. M.},
  title = {When do completion processes give rise to extensive categories?},
  journal = {J. Pure Appl. Algebra},
  year = {2001},
  volume = {159},
  pages = {203--230},
  number = {2-3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18C05 (18A30)},
  mrnumber = {MR1828939 (2002d:18001)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{lake:consist-afc,
  author = {Lake, John},
  title = {Relative consistency of an extension of {A}ckermann's set theory},
  journal = {J. Symbolic Logic},
  year = {1976},
  volume = {41},
  pages = {465--466},
  number = {2},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {02K05 (02K35)},
  mrnumber = {MR0411964 (54 \#93)},
  mrreviewer = {J. E. Rubin}
}

@ARTICLE{lake:nmod-acktype,
  author = {Lake, John},
  title = {Natural models and {A}ckermann-type set theories},
  journal = {J. Symbolic Logic},
  year = {1975},
  volume = {40},
  pages = {151--158},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {02K15 (02G15 02K35)},
  mrnumber = {MR0369071 (51 \#5307)},
  mrreviewer = {M. Boffa}
}

@ARTICLE{lake:acktype,
  author = {Lake, John},
  title = {On an {A}ckermann-type set theory},
  journal = {J. Symbolic Logic},
  year = {1973},
  volume = {38},
  pages = {410--412},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {02K15},
  mrnumber = {MR0345820 (49 \#10550)},
  mrreviewer = {M. Boffa}
}

@ARTICLE{MR0340366,
  author = {Lambek, J.},
  title = {Functional completeness of cartesian categories},
  journal = {Ann. Math. Logic},
  year = {1973/74},
  volume = {6},
  pages = {259--292},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {18C10 (02G20 18D15)},
  mrnumber = {MR0340366 (49 \#5121)},
  mrreviewer = {H. Gonshor}
}

@INCOLLECTION{MR1327976,
  author = {Lambek, J.},
  title = {Some aspects of categorical logic},
  booktitle = {Logic, methodology and philosophy of science, {IX} ({U}ppsala, 1991)},
  publisher = {North-Holland},
  year = {1994},
  volume = {134},
  series = {Stud. Logic Found. Math.},
  pages = {69--89},
  address = {Amsterdam},
  mrclass = {03G30 (18A15)},
  mrnumber = {MR1327976 (96e:03078)},
  mrreviewer = {Anna Labella}
}

@INCOLLECTION{lambek:multi-revis,
  author = {Lambek, J.},
  title = {Multicategories revisited},
  booktitle = {Categories in computer science and logic ({B}oulder, {CO}, 1987)},
  publisher = {Amer. Math. Soc.},
  year = {1989},
  volume = {92},
  series = {Contemp. Math.},
  pages = {217--239},
  address = {Providence, RI},
  mrclass = {18D15 (03B40 03G30 68Q45 68S05)},
  mrnumber = {MR1003201 (90e:18010)},
  mrreviewer = {R. H. Street}
}

@INCOLLECTION{lambek:unity,
  author = {Lambek, J.},
  title = {On the unity of algebra and logic},
  booktitle = {Categorical algebra and its applications ({L}ouvain-{L}a-{N}euve,
	1987)},
  publisher = {Springer},
  year = {1988},
  volume = {1348},
  series = {Lecture Notes in Math.},
  pages = {221--229},
  address = {Berlin},
  mrclass = {18C10 (03F07 03G30 08B05 18A15)},
  mrnumber = {MR975972 (89m:18010)},
  mrreviewer = {Andreas Blass}
}

@ARTICLE{MR574645,
  author = {Lambek, Joachim},
  title = {From types to sets},
  journal = {Adv. in Math.},
  year = {1980},
  volume = {36},
  pages = {113--164},
  number = {2},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {03G30 (18B25)},
  mrnumber = {MR574645 (81h:03124)},
  mrreviewer = {J. L. Bell}
}

@INCOLLECTION{lambek:dedsys-iii,
  author = {Lambek, Joachim},
  title = {Deductive systems and categories. {III}. {C}artesian closed categories,
	intuitionist propositional calculus, and combinatory logic},
  booktitle = {Toposes, algebraic geometry and logic ({C}onf., {D}alhousie {U}niv.,
	{H}alifax, {N}.{S}., 1971)},
  publisher = {Springer},
  year = {1972},
  pages = {57--82. Lecture Notes in Math., Vol. 274},
  address = {Berlin},
  mrclass = {02C20 (02C15 02D99 18D15)},
  mrnumber = {MR0349356 (50 \#1850)},
  mrreviewer = {H. Gonshor}
}

@ARTICLE{lambek:fixpoint,
  author = {Lambek, Joachim},
  title = {A fixpoint theorem for complete categories},
  journal = {Math. Z.},
  year = {1968},
  volume = {103},
  pages = {151--161},
  fjournal = {Mathematische Zeitschrift},
  issn = {0025-5874},
  mrclass = {18.10 (06.00)},
  mrnumber = {MR0224671 (37 \#270)},
  mrreviewer = {J{\"u}rgen Schmidt}
}

@ARTICLE{MR605074,
  author = {Lambek, J. and Scott, P. J.},
  title = {Intuitionist type theory and foundations},
  journal = {J. Philos. Logic},
  year = {1981},
  volume = {10},
  pages = {101--115},
  number = {1},
  coden = {JPLGA7},
  fjournal = {Journal of Philosophical Logic},
  issn = {0022-3611},
  mrclass = {03G30 (03B15 03B20 03F35 03F55)},
  mrnumber = {MR605074 (83j:03111)},
  mrreviewer = {Authors' review}
}

@INCOLLECTION{MR644501,
  author = {Lambek, J. and Scott, P. J.},
  title = {Independence of premisses and the free topos},
  booktitle = {Constructive mathematics ({L}as {C}ruces, {N}.{M}., 1980)},
  publisher = {Springer},
  year = {1981},
  volume = {873},
  series = {Lecture Notes in Math.},
  pages = {191--207},
  address = {Berlin},
  mrclass = {03F55 (03B15 03G30 18A15 18B25)},
  mrnumber = {MR644501 (83e:03098)},
  mrreviewer = {A. Preller}
}

@ARTICLE{ls:itt-free-topos,
  author = {Lambek, J. and Scott, P. J.},
  title = {Intuitionist type theory and the free topos},
  journal = {J. Pure Appl. Algebra},
  year = {1980},
  volume = {19},
  pages = {215--257},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {03G30 (03F50 18B25)},
  mrnumber = {MR593255 (82b:03112)},
  mrreviewer = {Andreas Blass}
}

@ARTICLE{laplaza:emb-closed,
  author = {Laplaza, Miguel L.},
  title = {Embedding of closed categories into monoidal closed categories},
  journal = {Trans. Amer. Math. Soc.},
  year = {1977},
  volume = {233},
  pages = {85--91},
  fjournal = {Transactions of the American Mathematical Society},
  issn = {0002-9947},
  mrclass = {18D15},
  mrnumber = {MR0480686 (58 \#842)},
  mrreviewer = {E. G. Manes}
}

@BOOK{lavendhomme:sdg,
  title = {Basic concepts of synthetic differential geometry},
  publisher = {Kluwer Academic Publishers Group},
  year = {1996},
  author = {Lavendhomme, Ren{\'e}},
  volume = {13},
  pages = {xvi+320},
  series = {Kluwer Texts in the Mathematical Sciences},
  address = {Dordrecht},
  note = {Translated from the 1987 French original, Revised by the author},
  isbn = {0-7923-3941-X},
  mrclass = {58A03 (51K10 53-01)},
  mrnumber = {MR1385464 (98e:58008)},
  mrreviewer = {Maria H. Papatriantafillou}
}

@ARTICLE{lawvere:adjointness,
  author = {Lawvere, F. William},
  title = {Adjointness in foundations},
  journal = {Repr. Theory Appl. Categ.},
  year = {2006},
  pages = {1--16 (electronic)},
  volume = {16},
  note = {Reprinted from Dialectica 23 (1969)},
  fjournal = {Reprints in Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18B25 (00A30 18A15 18A40 18B30 55U40)},
  mrnumber = {MR2223032 (2007h:18004)},
  mrreviewer = {Steve Awodey}
}

@ARTICLE{lawvere:etcs-long,
  author = {Lawvere, F. William},
  title = {An elementary theory of the category of sets (long version) with
	commentary},
  journal = {Repr. Theory Appl. Categ.},
  year = {2005},
  pages = {1--35 (electronic)},
  volume = {11},
  note = {Reprinted and expanded from Proc. Nat. Acad. Sci. U.S.A. {\bf 52}
	(1964), With comments by the author and Colin McLarty},
  fjournal = {Reprints in Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {03A05 (00B60 03E99 18B05)},
  mrnumber = {MR2177727 (2006g:03009)}
}

@ARTICLE{lawvere:fndapp,
  author = {Lawvere, F. William},
  title = {Foundations and applications: axiomatization and education},
  journal = {Bull. Symbolic Logic},
  year = {2003},
  volume = {9},
  pages = {213--224},
  number = {2},
  note = {New programs and open problems in the foundation of mathematics (Paris,
	2000)},
  fjournal = {The Bulletin of Symbolic Logic},
  issn = {1079-8986},
  mrclass = {03A05 (03-03 03E30 03G30 18A99)},
  mrnumber = {MR1988967 (2004j:03011)},
  mrreviewer = {Colin McLarty}
}

@ARTICLE{lawvere:metric-spaces,
  author = {F. William Lawvere},
  title = {Metric spaces, generalized logic, and closed categories},
  journal = {Rend. Sem. Mat. Fis. Milano},
  year = {1974},
  volume = {43},
  pages = {135--166},
  note = {Reprinted as Repr. Theory Appl. Categ. 1:1--37, 2002.}
}

@INCOLLECTION{lawvere:comprehension,
  author = {Lawvere, F. William},
  title = {Equality in hyperdoctrines and comprehension schema as an adjoint
	functor},
  booktitle = {Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol.
	XVII, New York, 1968)},
  publisher = {Amer. Math. Soc.},
  year = {1970},
  pages = {1--14},
  address = {Providence, R.I.},
  mrclass = {18.10},
  mrnumber = {MR0257175 (41 \#1829)},
  mrreviewer = {H. Gonshor}
}

@INCOLLECTION{lawvere:catofcats,
  author = {Lawvere, F. William},
  title = {The category of categories as a foundation for mathematics},
  booktitle = {Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965)},
  publisher = {Springer},
  year = {1966},
  pages = {1--20},
  address = {New York},
  mrclass = {02.00},
  mrnumber = {MR0207517 (34 \#7332)},
  mrreviewer = {J. R. Isbell}
}

@ARTICLE{lawvere:etcs,
  author = {Lawvere, F. William},
  title = {An elementary theory of the category of sets},
  journal = {Proc. Nat. Acad. Sci. U.S.A.},
  year = {1964},
  volume = {52},
  pages = {1506--1511},
  note = {Reprinted and expanded in {\it Repr. Theory Appl. Categ.} {\bf 11}
	(2005), with comments by the author and Colin McLarty},
  mrclass = {04.99 (18.10)},
  mrnumber = {MR0172807 (30 \#3025)},
  mrreviewer = {A. Heller}
}

@ARTICLE{lawvere:functsem,
  author = {Lawvere, F. William},
  title = {Functorial semantics of algebraic theories},
  journal = {Proc. Nat. Acad. Sci. U.S.A.},
  year = {1963},
  volume = {50},
  pages = {869--872},
  mrclass = {18.10},
  mrnumber = {MR0158921 (28 \#2143)},
  mrreviewer = {M. Artin}
}

@ARTICLE{lmv:beck-pseudo,
  author = {Le Creurer, I. J. and Marmolejo, F. and Vitale, E. M.},
  title = {Beck's theorem for pseudo-monads},
  journal = {J. Pure Appl. Algebra},
  year = {2002},
  volume = {173},
  pages = {293--313},
  number = {3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18C15 (18D05)},
  mrnumber = {MR1916482 (2003f:18004)},
  mrreviewer = {Peter Johnstone}
}

@unpublished{leinster:fc-multicategories,
  author = {Tom Leinster},
  title = {{\bf fc}-multicategories},
  year = {2007},
  abstract = {fc-multicategories are a very general kind of two-dimensional structure,
	encompassing bicategories, monoidal categories, double categories
	and ordinary multicategories. We define them and explain how they
	provide a natural setting for two familiar categorical ideas. The
	first is the bimodules construction, traditionally carried out on
	suitably cocomplete bicategories but perhaps more naturally carried
	out on fc-multicategories. The second is enrichment: there is a theory
	of categories enriched in an fc-multicategory, extending the usual
	theory of enrichment in a monoidal category. We finish by indicating
	how this work is just the simplest case of a much larger phenomenon.},
  comments = {Notes for talk at PSSL 70; 8 pages},
  note = {arXiv:math/9903004},
  eprint = {math/9903004},
  oai2identifier = {math/9903004}
}

@BOOK{leinster:higher-opds,
  title = {Higher operads, higher categories},
  publisher = {Cambridge University Press},
  year = {2004},
  author = {Leinster, Tom},
  volume = {298},
  pages = {xiv+433},
  series = {London Mathematical Society Lecture Note Series},
  address = {Cambridge},
  file = {Higher Operads, Higher Categories 0305049.pdf:Leinster, Tom/Higher
	Operads, Higher Categories 0305049.pdf:PDF},
  isbn = {0-521-53215-9},
  mrclass = {18D50 (55P48)},
  mrnumber = {MR2094071 (2005h:18030)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{leinster:gen-enr-cats,
  author = {Leinster, Tom},
  title = {Generalized enrichment of categories},
  journal = {J. Pure Appl. Algebra},
  year = {2002},
  volume = {168},
  pages = {391--406},
  number = {2-3},
  note = {Category theory 1999 (Coimbra)},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D20 (18D05 18D10 18D50)},
  mrnumber = {MR1887166 (2003a:18008)},
  mrreviewer = {H.-J. Hoehnke}
}

@ARTICLE{leinster:survey,
  author = {Leinster, Tom},
  title = {A survey of definitions of {$n$}-category},
  journal = {Theory Appl. Categ.},
  year = {2002},
  volume = {10},
  pages = {1--70 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18D05 (18D50)},
  mrnumber = {MR1883478 (2002i:18008)},
  mrreviewer = {Vincent Zoonekynd}
}

@UNPUBLISHED{leinster:hoalg-opd,
  author = {Tom Leinster},
  title = {Homotopy Algebras for Operads},
  note = {arXiv:math/0002180},
  year = {2000}
}

@MISC{leinster:gen-enr-cat-multi,
  author = {Leinster, Tom},
  title = {Generalized enrichment of categories and multicategories},
  year = {1999},
  eprint = {arXiv:math.CT/9901139},
  file = {:Leinster, Tom/Generalized Enrichment for Categories and Multicategories
	9901139.pdf:PDF}
}

@ARTICLE{MR2075334,
  author = {Leivant, Daniel},
  title = {Intrinsic reasoning about functional programs. {II}. {U}nipolar induction
	and primitive-recursion},
  journal = {Theoret. Comput. Sci.},
  year = {2004},
  volume = {318},
  pages = {181--196},
  number = {1-2},
  coden = {TCSDI},
  fjournal = {Theoretical Computer Science},
  issn = {0304-3975},
  mrclass = {03D80 (03D15 03D20 03F05 68N18 68Q15)},
  mrnumber = {MR2075334 (2005f:03064)}
}

@ARTICLE{MR1879411,
  author = {Leivant, Daniel},
  title = {Intrinsic reasoning about functional programs. {I}. {F}irst order
	theories},
  journal = {Ann. Pure Appl. Logic},
  year = {2002},
  volume = {114},
  pages = {117--153},
  number = {1-3},
  note = {Commemorative Symposium Dedicated to Anne S. Troelstra (Noordwijkerhout,
	1999)},
  coden = {APALD7},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {03F30 (03D15 03F05 03F20 03F55 68Q15 68W30)},
  mrnumber = {MR1879411 (2003b:03082)}
}

@ARTICLE{MR1673303,
  author = {Leivant, Daniel},
  title = {Ramified recurrence and computational complexity. {III}. {H}igher
	type recurrence and elementary complexity},
  journal = {Ann. Pure Appl. Logic},
  year = {1999},
  volume = {96},
  pages = {209--229},
  number = {1-3},
  note = {Festschrift on the occasion of Professor Rohit Parikh's 60th birthday},
  coden = {APALD7},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {03D15 (03F05 03F10 68N18 68Q05 68Q15)},
  mrnumber = {MR1673303 (2000b:03148)}
}

@INCOLLECTION{MR1322281,
  author = {Leivant, Daniel},
  title = {Ramified recurrence and computational complexity. {I}. {W}ord recurrence
	and poly-time},
  booktitle = {Feasible mathematics, II (Ithaca, NY, 1992)},
  publisher = {Birkh\"auser Boston},
  year = {1995},
  volume = {13},
  series = {Progr. Comput. Sci. Appl. Logic},
  pages = {320--343},
  address = {Boston, MA},
  mrclass = {03D20 (03D15 08B20 68Q15)},
  mrnumber = {MR1322281 (96d:03059)},
  mrreviewer = {Gerhard Lischke}
}

@INCOLLECTION{MR1471248,
  author = {Leivant, Daniel and Marion, Jean-Yves},
  title = {Ramified recurrence and computational complexity. {II}. {S}ubstitution
	and poly-space},
  booktitle = {Computer science logic (Kazimierz, 1994)},
  publisher = {Springer},
  year = {1995},
  volume = {933},
  series = {Lecture Notes in Comput. Sci.},
  pages = {486--500},
  address = {Berlin},
  mrclass = {68Q15 (03D15)},
  mrnumber = {MR1471248 (98e:68082)}
}

@ARTICLE{lm:mmmc,
  author = {Lewis, Jr., L. Gaunce and Mandell, Michael A.},
  title = {Modules in monoidal model categories},
  journal = {J. Pure Appl. Algebra},
  year = {2007},
  volume = {210},
  pages = {395--421},
  number = {2},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18G55 (55P99 55U35)},
  mrnumber = {MR2320005},
  mrreviewer = {Brooke E. Shipley}
}

@BOOK{lms:equivariant,
  title = {Equivariant stable homotopy theory},
  publisher = {Springer-Verlag},
  year = {1986},
  author = {Lewis, Jr., L. G. and May, J. P. and Steinberger, M. and McClure,
	J. E.},
  volume = {1213},
  pages = {x+538},
  series = {Lecture Notes in Mathematics},
  address = {Berlin},
  note = {With contributions by J. E. McClure},
  isbn = {3-540-16820-6},
  mrclass = {55-02 (55Nxx 55Pxx 57S99)},
  mrnumber = {MR866482 (88e:55002)},
  mrreviewer = {T. tom Dieck}
}

@MASTERSTHESIS{lietz:fib-gm,
  author = {Peter Lietz},
  title = {A fibrational theory of geometric morphisms},
  school = {Technische Universit\"at Darmstadt},
  year = {1998},
  type = {Diplomarbeit},
  note = {Available at \url{http://www.mathematik.tu-darmstadt.de/~streicher/FIBR/lietz.ps.gz}},
  annote = {Student of Thomas Streicher. Does lextensive fibrations.}
}

@ARTICLE{lind:units,
  author = {John Lind},
  title = {Diagram spaces, diagram spectra, and spectra of units},
  year = {2009},
  month = aug,
  abstract = {We compare the infinite loop spaces associated to symmetric spectra,
	orthogonal spectra, and EKMM S-modules. Each of these categories
	of structured spectra has a corresponding category of structured
	spaces that receives the infinite loop space functor \Omega^\infty.
	We prove that these models for spaces are Quillen equivalent and
	that the infinite loop space functors \Omega^\infty agree. This comparison
	is then used to show that two different constructions of the spectrum
	of units gl_1 R of a structured ring spectrum R agree.},
  comments = {47 pages},
  eprint = {arXiv:0908.1092},
  oai2identifier = {0908.1092}
}

@ARTICLE{lindner:morita-enriched,
  author = {Lindner, Harald},
  title = {Morita equivalences of enriched categories},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1974},
  volume = {15},
  pages = {377--397, 449--450},
  number = {4},
  note = {Conf\'erences du Colloque sur l'Alg\`ebre des Cat\'egories (Amiens,
	1973), III},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {0008-0004},
  mrclass = {18D20},
  mrnumber = {MR0399209 (53 \#3060)},
  mrreviewer = {J. L. Williams}
}

@ARTICLE{lindstrom:afa-mltt,
  author = {Lindstr{\"o}m, Ingrid},
  title = {A construction of non-well-founded sets within {M}artin-{L}\"of's
	type theory},
  journal = {J. Symbolic Logic},
  year = {1989},
  volume = {54},
  pages = {57--64},
  number = {1},
  coden = {JSYLA6},
  doi = {10.2307/2275015},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03F50},
  mrnumber = {MR987322 (90h:03050)},
  url = {http://dx.doi.org/10.2307/2275015}
}

@INPROCEEDINGS{MR621861,
  author = {Linton, F. E. J.},
  title = {Applied functorial semantics. {III}. {C}haracterizing {B}anach conjugate
	spaces},
  booktitle = {Proceedings of the Conference on Integration, Topology, and Geometry
	in Linear Spaces (Univ. North Carolina, Chapel Hill, N.C., 1979)},
  year = {1980},
  volume = {2},
  series = {Contemp. Math.},
  pages = {227--240},
  address = {Providence, R.I.},
  publisher = {Amer. Math. Soc.},
  annote = {Banach duals as algebras for the double-dualization monad},
  mrclass = {46M15 (18C20 46B10)},
  mrnumber = {MR621861 (83d:46084)},
  mrreviewer = {J. Sonner}
}

@INCOLLECTION{MR0288162,
  author = {Linton, F. E. J.},
  title = {The multilinear {Y}oneda lemmas: {T}occata, fugue, and fantasia on
	themes by {E}ilenberg-{K}elly and {Y}oneda},
  booktitle = {Reports of the {M}idwest {C}ategory {S}eminar, {V} ({Z}\"urich, 1970)},
  publisher = {Lecture Notes in Mathematics, Vol. 195. Springer, Berlin},
  year = {1971},
  pages = {209--229},
  mrclass = {18.10},
  mrnumber = {MR0288162 (44 \#5360)},
  mrreviewer = {R. Par{\'e}}
}

@INCOLLECTION{linton:coeq-alg,
  author = {Linton, F. E. J.},
  title = {Coequalizers in categories of algebras},
  booktitle = {Sem. on Triples and Categorical Homology Theory (ETH, Z\"urich, 1966/67)},
  publisher = {Springer},
  year = {1969},
  pages = {75--90},
  address = {Berlin},
  mrclass = {18.10},
  mrnumber = {MR0244341 (39 \#5656)},
  mrreviewer = {J. Sonner}
}

@INCOLLECTION{MR0223534,
  author = {Linton, F. E. J.},
  title = {Functional measure theory},
  booktitle = {Functional Analysis (Proc. Conf., Irvine, Calif., 1966)},
  publisher = {Academic Press},
  year = {1967},
  pages = {36--49},
  address = {London},
  annote = {measures as adjoint to functions},
  mrclass = {28.65},
  mrnumber = {MR0223534 (36 \#6582)},
  mrreviewer = {J. C. Oxtoby}
}

@ARTICLE{MR651845,
  author = {Loday, Jean-Louis},
  title = {Spaces with finitely many nontrivial homotopy groups},
  journal = {J. Pure Appl. Algebra},
  year = {1982},
  volume = {24},
  pages = {179--202},
  number = {2},
  coden = {JPAAA},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {55P15 (18G55)},
  mrnumber = {MR651845 (83i:55009)},
  mrreviewer = {Johannes Huebschmann}
}

@ARTICLE{MR1144345,
  author = {Loeb, D.},
  title = {Sets with a negative number of elements},
  journal = {Adv. Math.},
  year = {1992},
  volume = {91},
  pages = {64--74},
  number = {1},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {05A15 (04A20 05A10)},
  mrnumber = {MR1144345 (93c:05008)},
  mrreviewer = {Ira Gessel}
}

@article{pll:wkom-type, 
 title={Weak omega-categories from intensional type theory},
 journal={Logical Methods in Computer Science}, 
 author={Lumsdaine, Peter {LeFanu}},
 year={2010},
 eprint = 	 {arXiv:0812.0409},
  volume = 	 {6},
  number = 	 {3}
}
% url={http://www.springerlink.com/index/k5w4n04273035095.pdf},

@BOOK{lurie:higher-topoi,
  title = {Higher topos theory},
  publisher = {Princeton University Press},
  year = {2009},
  author = {Jacob Lurie},
  number = {170},
  series = {Annals of Mathematics Studies},
  eprint = {arXiv:math.CT/0608040}
}

@ARTICLE{lurie:tft,
  author = {Jacob Lurie},
  title = {On the Classification of Topological Field Theories},
  year = {2009},
  month = may,
  abstract = {This paper provides an informal sketch of a proof of the Baez-Dolan
	cobordism hypothesis, which provides a classification for extended
	topological quantum field theories.},
  comments = {111 pages},
  eprint = {0905.0465},
  oai2identifier = {0905.0465},
  reportno = {AIM 2009-24}
}

@Unpublished{lurie:strsp,
  year = 	 {2009},
  author = 	 {Jacob Lurie},
  title = 	 {Derived {A}lgebraic {G}eometry {V}: Structured Spaces},
  note = 	 {arXiv:0905.0459}}

@ARTICLE{MR2366947,
  author = {Lyubashenko, Volodymyr},
  title = {Erratum to: ``{C}ategory of {$A\sb \infty$}-categories'' [{H}omology
	{H}omotopy {A}ppl. {\bf 5} (2003), no. 1, 1--48; MR1989611]},
  journal = {Homology, Homotopy Appl.},
  year = {2007},
  volume = {9},
  pages = {163--164},
  number = {2},
  fjournal = {Homology, Homotopy and Applications},
  issn = {1532-0073},
  mrclass = {18D05 (18D20 18G55 57T30)},
  mrnumber = {MR2366947 (2008m:18007)}
}

@ARTICLE{MR1989611,
  author = {Lyubashenko, Volodymyr},
  title = {Category of {$A\sb \infty$}-categories},
  journal = {Homology Homotopy Appl.},
  year = {2003},
  volume = {5},
  pages = {1--48 (electronic)},
  number = {1},
  fjournal = {Homology, Homotopy and Applications},
  issn = {1512-0139},
  mrclass = {18D05 (18D20 18G55 57T30)},
  mrnumber = {MR1989611 (2004e:18008)},
  mrreviewer = {Beno\^ {\i}t Fresse}
}

@ARTICLE{levy:reflection,
  author = {L{\'e}vy, A.},
  title = {Principles of reflection in axiomatic set theory},
  journal = {Fund. Math.},
  year = {1960/1961},
  volume = {49},
  pages = {1--10},
  fjournal = {Polska Akademia Nauk. Fundamenta Mathematicae},
  issn = {0016-2736},
  mrclass = {02.63},
  mrnumber = {MR0139518 (25 \#2950)},
  mrreviewer = {C.-C. Chang}
}

@INCOLLECTION{levy:classes,
  author = {L{\'e}vy, Azriel},
  title = {The role of classes in set theory},
  booktitle = {Sets and classes (on the work by Paul Bernays)},
  publisher = {North-Holland},
  year = {1976},
  pages = {173--215. Studies in Logic and the Foundations of Math., Vol. 84},
  address = {Amsterdam},
  mrclass = {02KXX},
  mrnumber = {MR0416912 (54 \#4975)}
}

@ARTICLE{levy:hierarchy,
  author = {L{\'e}vy, Azriel},
  title = {A hierarchy of formulas in set theory},
  journal = {Mem. Amer. Math. Soc. No.},
  year = {1965},
  volume = {57},
  pages = {76},
  fjournal = {Memoirs of the American Mathematical Society},
  issn = {0065-9266},
  mrclass = {02.77},
  mrnumber = {MR0189983 (32 \#7399)},
  mrreviewer = {E. Mendelson}
}

@INCOLLECTION{levy:on-reflection,
  author = {L{\'e}vy, Azriel},
  title = {On the principles of reflection in axiomatic set theory},
  booktitle = {Logic, Methodology and Philosophy of Science (Proc. 1960 Internat.
	Congr.)},
  publisher = {Stanford Univ. Press},
  year = {1962},
  pages = {87--93},
  address = {Stanford, Calif.},
  mrclass = {02.60},
  mrnumber = {MR0156777 (28 \#21)},
  mrreviewer = {S. Feferman}
}

@INCOLLECTION{levy:choice,
  author = {L{\'e}vy, Azriel},
  title = {Comparing the axioms of local and universal choice},
  booktitle = {Essays on the foundations of mathematics},
  publisher = {Magnes Press},
  year = {1961},
  pages = {83--90},
  address = {Hebrew Univ., Jerusalem},
  mrclass = {02.60},
  mrnumber = {MR0170814 (30 \#1049)},
  mrreviewer = {J. R. Shoenfield}
}

@ARTICLE{levy:strong-inf,
  author = {L{\'e}vy, Azriel},
  title = {Axiom schemata of strong infinity in axiomatic set theory},
  journal = {Pacific J. Math.},
  year = {1960},
  volume = {10},
  pages = {223--238},
  fjournal = {Pacific Journal of Mathematics},
  issn = {0030-8730},
  mrclass = {02.63},
  mrnumber = {MR0124205 (23 \#A1522)},
  mrreviewer = {L. Rieger}
}

@ARTICLE{levy:ackermann,
  author = {L{\'e}vy, Azriel},
  title = {On {A}ckermann's set theory},
  journal = {J. Symb. Logic},
  year = {1959},
  volume = {24},
  pages = {154--166},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {02.63},
  mrnumber = {MR0126371 (23 \#A3667)},
  mrreviewer = {J. C. Shepherdson}
}

@ARTICLE{lv:partial-reflection,
  author = {L{\'e}vy, A. and Vaught, R.},
  title = {Principles of partial reflection in the set theories of {Z}ermelo
	and {A}ckermann},
  journal = {Pacific J. Math.},
  year = {1961},
  volume = {11},
  pages = {1045--1062},
  fjournal = {Pacific Journal of Mathematics},
  issn = {0030-8730},
  mrclass = {02.63},
  mrnumber = {MR0139519 (25 \#2951)},
  mrreviewer = {E. Mendelson}
}

@ARTICLE{ml:contrary-stmts,
  author = {Mac Lane, Saunders},
  title = {Contrary statements about mathematics. {C}omment: ``{S}trong statements
	of analysis'' [{B}ull.\ {L}ondon {M}ath.\ {S}oc. {\bf 32} (2000),
	no. 5, 513--526; {MR}1767703 (2001h:03102a)] by {A}. {R}. {D}.\ {M}athias},
  journal = {Bull. London Math. Soc.},
  year = {2000},
  volume = {32},
  pages = {527},
  number = {5},
  coden = {LMSBBT},
  fjournal = {The Bulletin of the London Mathematical Society},
  issn = {0024-6093},
  mrclass = {03E65 (03E30 03G30 26A21 54H05)},
  mrnumber = {MR1767704 (2001h:03102b)},
  mrreviewer = {Julia Y. Yasuda}
}

@BOOK{maclane,
  title = {Categories For the Working Mathematician},
  publisher = {Springer},
  year = {1998},
  author = {Mac Lane, Saunders},
  volume = {5},
  series = {Graduate Texts in Mathematics},
  edition = {Second}
}

@INCOLLECTION{ml:mathias-ontologist,
  author = {Mac Lane, Saunders},
  title = {Is {M}athias an ontologist?},
  booktitle = {Set theory of the continuum (Berkeley, CA, 1989)},
  publisher = {Springer},
  year = {1992},
  volume = {26},
  series = {Math. Sci. Res. Inst. Publ.},
  pages = {119--122},
  address = {New York},
  mrclass = {03A05 (00A30)},
  mrnumber = {MR1233816 (94g:03011)},
  mrreviewer = {E. Mendelson}
}

@BOOK{maclane:formandfunction,
  title = {Mathematics, form and function},
  publisher = {Springer-Verlag},
  year = {1986},
  author = {Mac Lane, Saunders},
  pages = {xi+476},
  address = {New York},
  isbn = {0-387-96217-4},
  mrclass = {00A25 (03A05)},
  mrnumber = {MR816347 (87g:00041)},
  mrreviewer = {I. Grattan-Guinness}
}

@INCOLLECTION{maclane:one-universe,
  author = {Mac Lane, Saunders},
  title = {One universe as a foundation for category theory},
  booktitle = {Reports of the Midwest Category Seminar. III},
  publisher = {Springer},
  year = {1969},
  pages = {192--200},
  address = {Berlin},
  mrclass = {18.10},
  mrnumber = {MR0249486 (40 \#2731)},
  mrreviewer = {H. Gonshor}
}

@ARTICLE{maclane:natural-assoc,
  author = {Mac Lane, Saunders},
  title = {Natural associativity and commutativity},
  journal = {Rice Univ. Studies},
  year = {1963},
  volume = {49},
  pages = {28--46},
  number = {4},
  fjournal = {Rice University Studies},
  issn = {0035-4996},
  mrclass = {18.20},
  mrnumber = {MR0170925 (30 \#1160)},
  mrreviewer = {D. B. A. Epstein}
}

@INCOLLECTION{maclane:loc-sm-fdns,
  author = {Mac Lane, S.},
  title = {Locally small categories and the foundations of set theory},
  booktitle = {Infinitistic Methods (Proc. Sympos. Foundations of Math., Warsaw,
	1959)},
  publisher = {Pergamon},
  year = {1961},
  pages = {25--43},
  address = {Oxford},
  mrclass = {18.10 (02.00)},
  mrnumber = {MR0191941 (33 \#168)},
  mrreviewer = {H. Cartan}
}

@BOOK{mm:shv-gl,
  title = {Sheaves in geometry and logic: a first introduction to topos theory},
  publisher = {Springer-Verlag},
  year = {1994},
  author = {Mac Lane, Saunders and Moerdijk, Ieke},
  series = {Universitext},
  address = {New York},
  note = {Corrected reprint of the 1992 edition},
}

@ARTICLE{mp:coh-bicat,
  author = {Mac Lane, Saunders and Par{\'e}, Robert},
  title = {Coherence for bicategories and indexed categories},
  journal = {J. Pure Appl. Algebra},
  year = {1985},
  volume = {37},
  pages = {59--80},
  number = {1},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05 (18D30)},
  mrnumber = {MR794793 (86k:18003)},
  mrreviewer = {W. J. Rae Mitchell}
}

@INCOLLECTION{MR682954,
  author = {MacDonald, John and Stone, Arthur},
  title = {Essentially monadic adjunctions},
  booktitle = {Category theory ({G}ummersbach, 1981)},
  publisher = {Springer},
  year = {1982},
  volume = {962},
  series = {Lecture Notes in Math.},
  pages = {167--174},
  address = {Berlin},
  mrclass = {18A40},
  mrnumber = {MR682954 (84d:18002)}
}

@ARTICLE{MR667399,
  author = {MacDonald, John L. and Stone, Arthur},
  title = {The tower and regular decomposition},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1982},
  volume = {23},
  pages = {197--213},
  number = {2},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18A32},
  mrnumber = {MR667399 (83k:18001)},
  mrreviewer = {J. R. Isbell}
}

@ARTICLE{believing-axioms-i,
  author = {Maddy, Penelope},
  title = {Believing the axioms. {I}},
  journal = {J. Symbolic Logic},
  year = {1988},
  volume = {53},
  pages = {481--511},
  number = {2},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03A05 (01A60 03-03 03E30 03E55 04A30)},
  mrnumber = {MR947855 (89i:03007)},
  mrreviewer = {Mohamed Amer}
}

@ARTICLE{believing-axioms-ii,
  author = {Maddy, Penelope},
  title = {Believing the axioms. {II}},
  journal = {J. Symbolic Logic},
  year = {1988},
  volume = {53},
  pages = {736--764},
  number = {3},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03A05 (01A60 03E30 03E55 03E60 04A30)},
  mrnumber = {MR960996 (89m:03007)},
  mrreviewer = {Mohamed Amer}
}

@MISC{makkai:comparing,
  author = {Michael Makkai},
  title = {On comparing definitions of weak $n$-category},
  howpublished = {Available at \url{http://www.math.mcgill.ca/makkai/}},
  month = {August},
  year = {2001}
}

@INCOLLECTION{mak:catfdn,
  author = {Makkai, M.},
  title = {Towards a categorical foundation of mathematics},
  booktitle = {Logic Colloquium '95 (Haifa)},
  publisher = {Springer},
  year = {1998},
  volume = {11},
  series = {Lecture Notes Logic},
  pages = {153--190},
  address = {Berlin},
  mrclass = {03B15 (00A30 03A05 03G30 18A15 18D05)},
  mrnumber = {MR1678360 (2000f:03015)},
  mrreviewer = {Peter Johnstone}
}

@ARTICLE{makkai:avoiding-choice,
  author = {Makkai, M.},
  title = {Avoiding the axiom of choice in general category theory},
  journal = {J. Pure Appl. Algebra},
  year = {1996},
  volume = {108},
  pages = {109--173},
  number = {2},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18A15 (04A25)},
  mrnumber = {MR1382246 (97h:18002)},
  mrreviewer = {Andreas Blass}
}

@UNPUBLISHED{makkai:folds,
  author = {Michael Makkai},
  title = {First order logic with dependent sorts, with applications to category
	theory},
  note = {Available at \url{http://www.math.mcgill.ca/makkai/folds/}},
  year = {1995}
}

@BOOK{mp:accessible,
  title = {Accessible categories: the foundations of categorical model theory},
  publisher = {American Mathematical Society},
  year = {1989},
  author = {Makkai, Michael and Par{\'e}, Robert},
  volume = {104},
  pages = {viii+176},
  series = {Contemporary Mathematics},
  address = {Providence, RI},
  isbn = {0-8218-5111-X},
  mrclass = {03G30 (03C75 03C95 18B25 18C10 18D05 18F10)},
  mrnumber = {MR1031717 (91a:03118)},
  mrreviewer = {Horst Reichel}
}

@ARTICLE{mz:3cptd-notcc,
  author = {Mihaly Makkai and Marek Zawadowski},
  title = {The category of 3-computads is not cartesian closed},
  journal = {Journal of Pure and Applied Algebra},
  year = {2008},
  volume = {212},
  pages = {2543 - 2546},
  number = {11},
  doi = {DOI: 10.1016/j.jpaa.2008.04.010},
  issn = {0022-4049},
  url = {http://www.sciencedirect.com/science/article/B6V0K-4SPSPPV-1/2/c8c53da340a914938bf6c8fcbfb89885}
}

@ARTICLE{MR0331381,
  author = {Malraison, Jr., Pierre J.},
  title = {Fibrations as triple algebras},
  journal = {J. Pure Appl. Algebra},
  year = {1973},
  volume = {3},
  pages = {287--293},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {55F05 (18C15)},
  mrnumber = {MR0331381 (48 \#9714)},
  mrreviewer = {David Handel}
}

@ARTICLE{maltsiniotis:traces,
  author = {Maltsiniotis, G.},
  title = {Traces dans les cat\'egories mono\"\i dales, dualit\'e et cat\'egories
	mono\"\i dales fibr\'ees},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
  year = {1995},
  volume = {36},
  pages = {195--288},
  number = {3},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {0008-0004},
  mrclass = {18D10 (57M25)},
  mrnumber = {MR1352535 (97d:18007)}
}

@ARTICLE{mm:eqosp-smod,
  author = {Mandell, M. A. and May, J. P.},
  title = {Equivariant orthogonal spectra and {$S$}-modules},
  journal = {Mem. Amer. Math. Soc.},
  year = {2002},
  volume = {159},
  pages = {x+108},
  number = {755},
  coden = {MAMCAU},
  fjournal = {Memoirs of the American Mathematical Society},
  issn = {0065-9266},
  mrclass = {55P91 (18E30 55P42 55P43 55P48)},
  mrnumber = {MR1922205 (2003i:55012)},
  mrreviewer = {J. P. C. Greenlees}
}

@ARTICLE{mmss,
  author = {Mandell, M. A. and May, J. P. and Schwede, S. and Shipley, B.},
  title = {Model categories of diagram spectra},
  journal = {Proc. London Math. Soc. (3)},
  year = {2001},
  volume = {82},
  pages = {441--512},
  number = {2},
  coden = {PLMTAL},
  fjournal = {Proceedings of the London Mathematical Society. Third Series},
  issn = {0024-6115},
  mrclass = {55P42 (18A25 18E30 55U35)},
  mrnumber = {MR1806878 (2001k:55025)},
  mrreviewer = {Mark Hovey}
}

@UNPUBLISHED{manzyuk:closed,
  author = {Oleksandr Manzyuk},
  year =         {2009},
  title = {Closed categories vs. closed multicategories},
  note = {arXiv:0904.3137}
}

@ARTICLE{marmolejo-psmonads-ii,
  author = {Marmolejo, F.},
  title = {Distributive laws for pseudomonads. {II}},
  journal = {J. Pure Appl. Algebra},
  year = {2004},
  volume = {194},
  pages = {169--182},
  number = {1-2},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05 (18C15 18C20 18D20)},
  mrnumber = {MR2086080 (2005g:18013)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{marmolejo-psmonads,
  author = {Marmolejo, F.},
  title = {Distributive laws for pseudomonads},
  journal = {Theory Appl. Categ.},
  year = {1999},
  volume = {5},
  pages = {No. 5, 91--147 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18C15 (18D05 18D20)},
  mrnumber = {MR1673316 (2000a:18003)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{marmolejo:kz,
  author = {Marmolejo, F.},
  title = {Doctrines whose structure forms a fully faithful adjoint string},
  journal = {Theory Appl. Categ.},
  year = {1997},
  volume = {3},
  pages = {No.~2, 24--44 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18A35 (18C15 18D05)},
  mrnumber = {MR1432190 (98a:18002)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{mathias:str-maclane,
  author = {Mathias, A. R. D.},
  title = {The strength of {M}ac {L}ane set theory},
  journal = {Ann. Pure Appl. Logic},
  year = {2001},
  volume = {110},
  pages = {107--234},
  number = {1-3},
  coden = {APALD7},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {03E30 (00A30 03A05 03B30 03E35 18A15)},
  mrnumber = {MR1846761 (2002g:03105)},
  mrreviewer = {John L. Bell}
}

@ARTICLE{mathias:strong-stmts,
  author = {Mathias, A. R. D.},
  title = {Strong statements of analysis},
  journal = {Bull. London Math. Soc.},
  year = {2000},
  volume = {32},
  pages = {513--526},
  number = {5},
  coden = {LMSBBT},
  fjournal = {The Bulletin of the London Mathematical Society},
  issn = {0024-6093},
  mrclass = {03E65 (03E30 03G30 26A21 54H05)},
  mrnumber = {MR1767703 (2001h:03102a)},
  mrreviewer = {Julia Y. Yasuda}
}

@ARTICLE{mathias:bourbaki,
  author = {Mathias, A. R. D.},
  title = {The ignorance of {B}ourbaki},
  journal = {Math. Intelligencer},
  year = {1992},
  volume = {14},
  pages = {4--13},
  number = {3},
  coden = {MAINDC},
  fjournal = {The Mathematical Intelligencer},
  issn = {0343-6993},
  mrclass = {03A05 (00A30 01A60)},
  mrnumber = {MR1184313 (94a:03004b)},
  mrreviewer = {Hourya Sinaceur}
}

@INCOLLECTION{mathias:maclane-missing,
  author = {Mathias, Adrian R. D.},
  title = {What is {M}ac {L}ane missing?},
  booktitle = {Set theory of the continuum (Berkeley, CA, 1989)},
  publisher = {Springer},
  year = {1992},
  volume = {26},
  series = {Math. Sci. Res. Inst. Publ.},
  pages = {113--118},
  address = {New York},
  annote = {Includes "Set theory is the study of well-foundedness".},
  mrclass = {03A05 (00A30 03D75)},
  mrnumber = {MR1233815 (94g:03010)},
  mrreviewer = {E. Mendelson}
}

@UNPUBLISHED{may:operadic-cats,
  author = {J. Peter May},
  title = {Operadic categories, ${A}_\infty$ categories, and $n$-categories},
  note = {Talk given in Morelia, Mexico; notes available at \url{http://www.math.uchicago.edu/~may}},
  year = {2001}
}

@ARTICLE{may:picard,
  author = {May, J. P.},
  title = {Picard groups, {G}rothendieck rings, and {B}urnside rings of categories},
  journal = {Adv. Math.},
  year = {2001},
  volume = {163},
  pages = {1--16},
  number = {1},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18D10 (55P42)},
  mrnumber = {MR1867201 (2002k:18011)},
  mrreviewer = {Pilar C. Carrasco}
}

@ARTICLE{may:traces,
  author = {May, J. P.},
  title = {The additivity of traces in triangulated categories},
  journal = {Adv. Math.},
  year = {2001},
  volume = {163},
  pages = {34--73},
  number = {1},
  coden = {ADMTA4},
  fjournal = {Advances in Mathematics},
  issn = {0001-8708},
  mrclass = {18E30 (18D10)},
  mrnumber = {MR1867203 (2002k:18019)},
  mrreviewer = {Paul Balmer}
}

@BOOK{may:concise,
  title = {A concise course in algebraic topology},
  publisher = {University of Chicago Press},
  year = {1999},
  author = {May, J. P.},
  pages = {x+243},
  series = {Chicago Lectures in Mathematics},
  address = {Chicago, IL},
  isbn = {0-226-51182-0; 0-226-51183-9},
  mrclass = {55-02 (18-02 57-02)},
  mrnumber = {MR1702278 (2000h:55002)},
  mrreviewer = {R. M. Vogt}
}

@BOOK{may:alaska,
  title = {Equivariant homotopy and cohomology theory},
  publisher = {Published for the Conference Board of the Mathematical Sciences,
	Washington, DC},
  year = {1996},
  author = {May, J. P.},
  volume = {91},
  pages = {xiv+366},
  series = {CBMS Regional Conference Series in Mathematics},
  note = {With contributions by M. Cole, G. Comeza\~{n}a, S. Costenoble, A.
	D. Elmendorf, J. P. C. Greenlees, L. G. Lewis, Jr., R.~J. Piacenza,
	G. Triantafillou, and S. Waner},
  isbn = {0-8218-0319-0},
  mrclass = {55P91 (18G99 55N91 55U35)},
  mrnumber = {MR1413302 (97k:55016)},
  mrreviewer = {Ian Hambleton}
}

@BOOK{may:simp-obj,
  title = {Simplicial objects in algebraic topology},
  publisher = {University of Chicago Press},
  year = {1992},
  author = {May, J. Peter},
  pages = {viii+161},
  series = {Chicago Lectures in Mathematics},
  address = {Chicago, IL},
  note = {Reprint of the 1967 original},
  isbn = {0-226-51181-2},
  mrclass = {55U10},
  mrnumber = {MR1206474 (93m:55025)},
  mrreviewer = {Donald M. Davis}
}

@INCOLLECTION{may:weq-qfib,
  author = {May, J. P.},
  title = {Weak equivalences and quasifibrations},
  booktitle = {Groups of self-equivalences and related topics (Montreal, PQ, 1988)},
  publisher = {Springer},
  year = {1990},
  volume = {1425},
  series = {Lecture Notes in Math.},
  pages = {91--101},
  address = {Berlin},
  mrclass = {55R65 (55P99)},
  mrnumber = {MR1070579 (91m:55016)},
  mrreviewer = {A. Dold}
}

@ARTICLE{MR669843,
  author = {May, J. P.},
  title = {Multiplicative infinite loop space theory},
  journal = {J. Pure Appl. Algebra},
  year = {1982},
  volume = {26},
  pages = {1--69},
  number = {1},
  coden = {JPAAA},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {55P47},
  mrnumber = {MR669843 (84c:55013)},
  mrreviewer = {Frederick Cohen}
}

@ARTICLE{MR593258,
  author = {May, J. P.},
  title = {Pairings of categories and spectra},
  journal = {J. Pure Appl. Algebra},
  year = {1980},
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  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {55P47 (18D10)},
  mrnumber = {MR593258 (82c:55010)},
  mrreviewer = {J. M. Boardman}
}

@ARTICLE{may:csf,
  author = {May, J. Peter},
  title = {Classifying spaces and fibrations},
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  year = {1975},
  volume = {1},
  pages = {xiii+98},
  number = {1, 155},
  fjournal = {Memoirs of the American Mathematical Society},
  issn = {0065-9266},
  mrclass = {55F15 (57F20)},
  mrnumber = {MR0370579 (51 \#6806)},
  mrreviewer = {Harold Hastings}
}

@ARTICLE{may:ei-gp-perm,
  author = {J. P. May},
  title = {{$E_\infty$} spaces, group completions, and permutative categories},
  journal = {London Math Society Lecture Notes},
  year = {1974},
  volume = {11},
  pages = {61-93}
}

@BOOK{may:goils,
  title = {The geometry of iterated loop spaces},
  publisher = {Springer-Verlag},
  year = {1972},
  author = {May, J. Peter},
  pages = {viii+175},
  address = {Berlin},
  note = {Lectures Notes in Mathematics, Vol. 271},
  mrclass = {55D35},
  mrnumber = {MR0420610 (54 \#8623b)},
  mrreviewer = {J. Stasheff}
}

@BOOK{maysig:pht,
  title = {Parametrized Homotopy Theory},
  publisher = {Amer. Math. Soc.},
  year = {2006},
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  volume = {132},
  series = {Mathematical Surveys and Monographs},
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}

@ARTICLE{mt:uniq-inf-loop,
  author = {May, J. P. and Thomason, R.},
  title = {The uniqueness of infinite loop space machines},
  journal = {Topology},
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  pages = {205--224},
  number = {3},
  coden = {TPLGAF},
  fjournal = {Topology. An International Journal of Mathematics},
  issn = {0040-9383},
  mrclass = {55P42 (55N22 55P35)},
  mrnumber = {MR508885 (80g:55015)},
  mrreviewer = {J. F. Adams}
}

@ARTICLE{mccarthy:cychom-exact,
  author = {McCarthy, Randy},
  title = {The cyclic homology of an exact category},
  journal = {J. Pure Appl. Algebra},
  year = {1994},
  volume = {93},
  pages = {251--296},
  number = {3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {19D55 (18F25 18G60 19D10)},
  mrnumber = {MR1275967 (95b:19002)},
  mrreviewer = {Dominique Arlettaz}
}

@ARTICLE{MR973099,
  author = {McCarty, Charles},
  title = {Constructive validity is nonarithmetic},
  journal = {J. Symbolic Logic},
  year = {1988},
  volume = {53},
  pages = {1036--1041},
  number = {4},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03F35 (03C35 03C62 03F55)},
  mrnumber = {MR973099 (90f:03095)},
  mrreviewer = {Henry Africk}
}

@ARTICLE{MR842149,
  author = {McCarty, Charles},
  title = {Subcountability under realizability},
  journal = {Notre Dame J. Formal Logic},
  year = {1986},
  volume = {27},
  pages = {210--220},
  number = {2},
  coden = {NDJFAM},
  fjournal = {Notre Dame Journal of Formal Logic},
  issn = {0029-4527},
  mrclass = {03F55 (03E70)},
  mrnumber = {MR842149 (87h:03108)},
  mrreviewer = {G. E. Mints}
}

@ARTICLE{MR884417,
  author = {McCarty, Charles and Tennant, Neil},
  title = {Skolem's paradox and constructivism},
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  year = {1987},
  volume = {16},
  pages = {165--202},
  number = {2},
  coden = {JPLGA7},
  fjournal = {Journal of Philosophical Logic},
  issn = {0022-3611},
  mrclass = {03A05 (03F55)},
  mrnumber = {MR884417 (88c:03003)},
  mrreviewer = {G. E. Mints}
}

@ARTICLE{MR2034749,
  author = {McCarty, D. C.},
  title = {Intuitionistic completeness and classical logic},
  journal = {Notre Dame J. Formal Logic},
  year = {2002},
  volume = {43},
  pages = {243--248 (2003)},
  number = {4},
  coden = {NDJFAM},
  fjournal = {Notre Dame Journal of Formal Logic},
  issn = {0029-4527},
  mrclass = {03F55 (03F50)},
  mrnumber = {MR2034749 (2004m:03221)},
  mrreviewer = {Wim Veldman}
}

@PHDTHESIS{m:realiz-recurs,
  author = {Mccarty, David C.},
  title = {Realizability and recursive mathematics},
  school = {Computer Science Department, Carnegie Mellon University},
  year = {1984},
  annote = {Maybe includes a uniform reflection principle as part of a strong
	version of IZF},
  citeulike-article-id = {429316},
  keywords = {bibtex-import-all},
  posted-at = {2005-12-07 10:44:37},
  priority = {2}
}

@ARTICLE{MR1887160,
  author = {McCrudden, Paddy},
  title = {Tannaka duality for {M}aschkean categories},
  journal = {J. Pure Appl. Algebra},
  year = {2002},
  volume = {168},
  pages = {265--307},
  number = {2-3},
  note = {Category theory 1999 (Coimbra)},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D10},
  mrnumber = {MR1887160 (2003d:18012)},
  mrreviewer = {Bodo Pareigis}
}

@ARTICLE{MR1942328,
  author = {McCrudden, Paddy},
  title = {Opmonoidal monads},
  journal = {Theory Appl. Categ.},
  year = {2002},
  volume = {10},
  pages = {No. 19, 469--485 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18D10 (18D05 18D25)},
  mrnumber = {MR1942328 (2003m:18012)},
  mrreviewer = {Stephen Lack}
}

@ARTICLE{mccrudden:bal-coalgb,
  author = {McCrudden, Paddy},
  title = {Balanced coalgebroids},
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  volume = {7},
  pages = {No. 6, 71--147 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18D10 (81R50)},
  mrnumber = {MR1764504 (2001f:18018)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{MR1784678,
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  number = {2},
  coden = {ADMTA4},
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  mrclass = {18D10 (16W30)},
  mrnumber = {MR1784678 (2002b:18008)},
  mrreviewer = {Bodo Pareigis}
}

@ARTICLE{mt:hidden-lemmas,
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  pages = {29-57},
  annote = {Referred by Fernando Gouvea}
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@ARTICLE{mclarty:catstruct,
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  title = {Exploring categorical structuralism},
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  number = {1},
  fjournal = {Philosophia Mathematica. Philosophy of Mathematics, its Learning,
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  mrclass = {03A05 (00A30 18B25)},
  mrnumber = {MR2033719 (2005b:03018a)},
  mrreviewer = {Peter Johnstone}
}

@ARTICLE{mclarty:numbers,
  author = {McLarty, Colin},
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  pages = {487--498},
  number = {4},
  fjournal = {No\^us},
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  mrclass = {03A05},
  mrnumber = {MR1262549}
}

@BOOK{mclarty:ecat-etop,
  title = {Elementary categories, elementary toposes},
  publisher = {The Clarendon Press Oxford University Press},
  year = {1992},
  author = {McLarty, Colin},
  volume = {21},
  pages = {xiv+265},
  series = {Oxford Logic Guides},
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  note = {Oxford Science Publications},
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  mrclass = {18-01 (03G30 18B25)},
  mrnumber = {MR1182992 (94c:18001)},
  mrreviewer = {Ieke Moerdijk}
}

@ARTICLE{mclarty:nf-not-cc,
  author = {McLarty, Colin},
  title = {Failure of {C}artesian closedness in {NF}},
  journal = {J. Symbolic Logic},
  year = {1992},
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  pages = {555--556},
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  mrclass = {03E70 (03G30)},
  mrnumber = {MR1169193 (94a:03084)}
}

@ARTICLE{mclarty:catofcats,
  author = {McLarty, Colin},
  title = {Axiomatizing a category of categories},
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  year = {1991},
  volume = {56},
  pages = {1243--1260},
  number = {4},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
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  mrclass = {03B30 (03G30 18A15)},
  mrnumber = {MR1136454 (93a:03010)},
  mrreviewer = {Anna Labella}
}

@ARTICLE{mclarty:hist-topos,
  author = {McLarty, Colin},
  title = {The uses and abuses of the history of topos theory},
  journal = {British J. Philos. Sci.},
  year = {1990},
  volume = {41},
  pages = {351--375},
  number = {3},
  fjournal = {British Journal for the Philosophy of Science},
  issn = {0007-0882},
  mrclass = {01A60 (00A30 03A05 03G30 18B25)},
  mrnumber = {MR1078691 (92b:01044)},
  mrreviewer = {Andreas Blass}
}

@ARTICLE{menni:cocplt-excplt-topos,
  author = {Menni, Mat{\'{\i}}as},
  title = {Cocomplete toposes whose exact completions are toposes},
  journal = {J. Pure Appl. Algebra},
  year = {2007},
  volume = {210},
  pages = {511--520},
  number = {2},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18B25 (18A35)},
  mrnumber = {MR2320014 (2008b:18002)},
  mrreviewer = {Dumitru Bu{\c{s}}neag}
}

@ARTICLE{menni:lex-excplt-topos,
  author = {Menni, Mat{\'{\i}}as},
  title = {A characterization of the left exact categories whose exact completions
	are toposes},
  journal = {J. Pure Appl. Algebra},
  year = {2003},
  volume = {177},
  pages = {287--301},
  number = {3},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18A35 (18B25)},
  mrnumber = {MR1948025 (2003j:18004)},
  mrreviewer = {Ioan Tofan}
}

@ARTICLE{menni:more-ex-top,
  author = {Menni, Mat{\'{\i}}as},
  title = {More exact completions that are toposes},
  journal = {Ann. Pure Appl. Logic},
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  pages = {187--203},
  number = {1-3},
  coden = {APALD7},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {18B25 (03D99 03G30 18A35)},
  mrnumber = {MR1900904 (2003d:18004)},
  mrreviewer = {Peter Johnstone}
}

@ARTICLE{meyer:bar_ii,
  author = {Jean-Pierre Meyer},
  title = {Bar and Cobar Constructions, {II}},
  journal = {Journal of Pure and Applied Algebra},
  year = {1986},
  volume = {43},
  pages = {179-210}
}

@ARTICLE{meyer:bar_i,
  author = {Jean-Pierre Meyer},
  title = {Bar and Cobar Constructions, {I}},
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  year = {1984},
  volume = {33},
  pages = {163-207}
}

@INCOLLECTION{MR776630,
  author = {van Mill, Jan},
  title = {An introduction to {$\beta\omega$}},
  booktitle = {Handbook of set-theoretic topology},
  publisher = {North-Holland},
  year = {1984},
  pages = {503--567},
  address = {Amsterdam},
  mrclass = {54C35 (03E50)},
  mrnumber = {MR776630 (86f:54027)},
  mrreviewer = {Aleksander B{\l}aszczyk}
}

@ARTICLE{milnor:cw-type,
  author = {Milnor, John},
  title = {On spaces having the homotopy type of {${\rm CW}$}-complex},
  journal = {Trans. Amer. Math. Soc.},
  year = {1959},
  volume = {90},
  pages = {272--280},
  fjournal = {Transactions of the American Mathematical Society},
  issn = {0002-9947},
  mrclass = {55.00},
  mrnumber = {MR0100267 (20 \#6700)},
  mrreviewer = {V. Gugenheim}
}

@ARTICLE{mitchell:booltopoi,
  author = {Mitchell, William},
  title = {Categories of {B}oolean topoi},
  journal = {J. Pure Appl. Algebra},
  year = {1973},
  volume = {3},
  pages = {193--201},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {02K15 (18B05)},
  mrnumber = {MR0357117 (50 \#9585)},
  mrreviewer = {Andreas Blass}
}

@ARTICLE{mitchell:topoi-sets,
  author = {Mitchell, William},
  title = {Boolean topoi and the theory of sets},
  journal = {J. Pure Appl. Algebra},
  year = {1972},
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  pages = {261--274},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {02K15 (18A15)},
  mrnumber = {MR0319757 (47 \#8299)},
  mrreviewer = {Andreas Blass}
}

@ARTICLE{MR1332549,
  author = {Moerdijk, Ieke},
  title = {A model for intuitionistic non-standard arithmetic},
  journal = {Ann. Pure Appl. Logic},
  year = {1995},
  volume = {73},
  pages = {37--51},
  number = {1},
  note = {A tribute to Dirk van Dalen},
  coden = {APALD7},
  doi = {10.1016/0168-0072(93)E0071-U},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {03G30 (03C90 03F55)},
  mrnumber = {MR1332549 (96k:03145)},
  mrreviewer = {Wim Ruitenburg},
  url = {http://dx.doi.org/10.1016/0168-0072(93)E0071-U}
}

@ARTICLE{MR1031756,
  author = {Moerdijk, Ieke},
  title = {Descent theory for toposes},
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  year = {1989},
  volume = {41},
  pages = {373--391},
  number = {2},
  note = {Actes du Colloque en l'Honneur du Soixanti\`eme Anniversaire de Ren\'e
	Lavendhomme (Louvain-la-Neuve, 1989)},
  coden = {BMBEAC},
  fjournal = {Bulletin de la Soci\'et\'e Math\'ematique de Belgique. S\'erie A},
  issn = {0037-9476},
  mrclass = {18B25 (03G30 20L17)},
  mrnumber = {MR1031756 (91b:18005)},
  mrreviewer = {Kimmo I. Rosenthal}
}

@ARTICLE{mp:ttcst,
  author = {Moerdijk, Ieke and Palmgren, Erik},
  title = {Type theories, toposes and constructive set theory: predicative aspects
	of {AST}},
  journal = {Ann. Pure Appl. Logic},
  year = {2002},
  volume = {114},
  pages = {155--201},
  number = {1-3},
  note = {Commemorative Symposium Dedicated to Anne S. Troelstra (Noordwijkerhout,
	1999)},
  coden = {APALD7},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  mrclass = {03G30 (03B15 03F50 18B25)},
  mrnumber = {MR1879412 (2002j:03077)},
  mrreviewer = {Carsten Butz}
}

@INPROCEEDINGS{mp:wftrees,
  author = {Moerdijk, Ieke and Palmgren, Erik},
  title = {Wellfounded trees in categories},
  booktitle = {Proceedings of the {W}orkshop on {P}roof {T}heory and {C}omplexity,
	{PTAC}'98 ({A}arhus)},
  year = {2000},
  volume = {104},
  number = {1-3},
  pages = {189--218},
  coden = {APALD7},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  journal = {Ann. Pure Appl. Logic},
  mrclass = {03B15 (03G30 18A15 18B25)},
  mrnumber = {MR1778939 (2001j:03016)},
  mrreviewer = {Carsten Butz}
}

@BOOK{moerdijk-reyes:sia,
  title = {Models for smooth infinitesimal analysis},
  publisher = {Springer-Verlag},
  year = {1991},
  author = {Moerdijk, Ieke and Reyes, Gonzalo E.},
  pages = {x+399},
  address = {New York},
  isbn = {0-387-97489-X},
  mrclass = {18F99 (03H05 18B25 51K10)},
  mrnumber = {MR1083355 (91m:18017)},
  mrreviewer = {Kimmo I. Rosenthal}
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@ARTICLE{mv:nmod,
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  mrnumber = {MR0124203 (23 \#A1520)},
  mrreviewer = {L. Rieger}
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@INCOLLECTION{MR643013,
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  publisher = {Springer},
  year = {1981},
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  pages = {300--308},
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}

@ARTICLE{morton:catalg-qm,
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  mrclass = {18D10 (18B40 81P05)},
  mrnumber = {MR2272127 (2007k:18015)},
  mrreviewer = {Eugen Paal}
}

@ARTICLE{mostowski:cor-impred,
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	axiomatic set-theory''},
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  year = {1951},
  volume = {38},
  pages = {238},
  fjournal = {Polska Akademia Nauk. Fundamenta Mathematicae},
  issn = {0016-2736},
  mrclass = {02.0X},
  mrnumber = {MR0046321 (13,715e)}
}

@ARTICLE{mostowski:impred,
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  title = {Some impredicative definitions in the axiomatic set-theory},
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  year = {1950},
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  fjournal = {Polska Akademia Nauk. Fundamenta Mathematicae},
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  mrclass = {02.0X},
  mrnumber = {MR0041083 (12,791d)},
  mrreviewer = {A. Heyting}
}

@ARTICLE{muller:setclcat,
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  title = {Sets, classes, and categories},
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  pages = {539--573},
  number = {3},
  fjournal = {British Journal for the Philosophy of Science},
  issn = {0007-0882},
  mrclass = {03A05 (00A30 03E70 18A15)},
  mrnumber = {MR1851712 (2002k:03008)},
  mrreviewer = {Andreas Blass}
}

@ARTICLE{MR2075335,
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  year = {2004},
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  pages = {197--223},
  number = {1-2},
  coden = {TCSDI},
  fjournal = {Theoretical Computer Science},
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  mrclass = {03F52 (03D15 03D20 68Q15)},
  mrnumber = {MR2075335 (2005f:03094)},
  mrreviewer = {Luca Roversi}
}

@ARTICLE{myhill:cst,
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  number = {3},
  fjournal = {The Journal of Symbolic Logic},
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  mrclass = {02C15 (02E05 02K10)},
  mrnumber = {MR0381941 (52 \#2830)},
  mrreviewer = {B. van Rootselaar}
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@ARTICLE{MR2203902,
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@ARTICLE{MR700514,
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@article{olschok:ldet-lpres,
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@BOOK{oosten:realiz,
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}

@ARTICLE{MR1909026,
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  pages = {239--263},
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  mrclass = {03F50 (01A60 03-03 03G30)},
  mrnumber = {MR1909026 (2003m:03111)},
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}

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}

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@INCOLLECTION{osius:set-topoi,
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@ARTICLE{osius:cat-setth,
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@ARTICLE{MR2320294,
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@BOOK{page:uniform,
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@article{palmgren:cetcs,
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  note = {\url{http://www.math.uu.se/~palmgren/cetcs.pdf}},
	journal = 		 {Annals of Pure and Applied Logic},
	volume = 			 {163},
	issue = 			 {10},
	pages = 			 {1384--1399}
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@ARTICLE{MR1836004,
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@ARTICLE{MR1650475,
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@ARTICLE{MR1443276,
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@ARTICLE{MR1336645,
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}

@UNPUBLISHED{pare:dbllim-persistent,
  author = {R. Pare},
  title = {Double Limits},
  note = {International Category Theory Meeting, Bangor 1989},
  annote = {I haven't actually seen anything from this myself, only references
	from double-limits and Verity's thesis. Supposedly it describes 2-limits
	using double limits and flexible ones using persistent ones.}
}

@ARTICLE{MR1623261,
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  issn = {0022-4049},
  mrclass = {18A23 (18D20)},
  mrnumber = {MR1623261 (99f:18003)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{MR995139,
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  mrclass = {18B25 (18D05)},
  mrnumber = {MR995139 (90d:18002)},
  mrreviewer = {R. H. Street}
}

@INCOLLECTION{ps:indexed-aft,
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@ARTICLE{MR1342357,
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  fjournal = {Annals of Pure and Applied Logic},
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  mrclass = {03G30 (18A35)},
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}

@INCOLLECTION{MR1173021,
  author = {Pavlovi{\'c}, Du{\v{s}}ko},
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  booktitle = {Category theory (Como, 1990)},
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@ARTICLE{penon:inftycats,
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@ARTICLE{penon:locintern,
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@INCOLLECTION{penrose:negdimten,
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@BOOK{pr:spinors,
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  year = {1984},
  author = {Penrose, Roger and Rindler, Wolfgang},
  pages = {x+458},
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  isbn = {0-521-24527-3},
  mrclass = {83-02 (53A50 53B50 53C80 83Cxx)},
  mrnumber = {MR776784 (86h:83002)},
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@ARTICLE{perlis:afc,
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  volume = {37},
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  fjournal = {The Journal of Symbolic Logic},
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  mrreviewer = {A. Levy}
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@ARTICLE{MR1010365,
  author = {Phoa, Wesley},
  title = {Relative computability in the effective topos},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = {1989},
  volume = {106},
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  mrclass = {18B25 (03F50 03G30)},
  mrnumber = {MR1010365 (90h:18004)},
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@UNPUBLISHED{arXiv:0709.0837,
  author = {Claudio Pisani},
  title = {Categories of categories},
  note = {preprint},
  eprint = {arXiv:0709.0837}
}

@ARTICLE{pitts:tripos-retro,
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  issn = {0960-1295},
  mrclass = {03G30 (18C10 68Q55)},
  mrnumber = {MR1909027 (2003g:03110)},
  mrreviewer = {Anna Labella}
}

@ARTICLE{MR1443584,
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  title = {Localic triquotient maps are effective descent maps},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = {1997},
  volume = {122},
  pages = {17--43},
  number = {1},
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  issn = {0305-0041},
  mrclass = {54C10 (18B30 18C20 54E99)},
  mrnumber = {MR1443584 (98b:54022)},
  mrreviewer = {Joachim Schr{\"o}der}
}

@PHDTHESIS{kate:traces,
  author = {Kate Ponto},
  title = {Fixed point theory and trace for bicategories},
  school = {University of Chicago},
  year = {2007}
}

@MISC{porter,
  author = {Timothy Porter},
  title = {$\mathcal{S}$-categories, $\mathcal{S}$-groupoids, Segal categories
	and quasicategories},
  howpublished = {http://www.informatics.bangor.ac.uk/public/mathematics/research/preprints/04/algtop04.html}
}

@ARTICLE{MR1204402,
  author = {Porter, Timothy},
  title = {{$n$}-types of simplicial groups and crossed {$n$}-cubes},
  journal = {Topology},
  year = {1993},
  volume = {32},
  pages = {5--24},
  number = {1},
  coden = {TPLGAF},
  fjournal = {Topology. An International Journal of Mathematics},
  issn = {0040-9383},
  mrclass = {55P15 (18G30)},
  mrnumber = {MR1204402 (94e:55017)},
  mrreviewer = {David A. Blanc}
}

@ARTICLE{powell:neg-zf,
  author = {Powell, William C.},
  title = {Extending {G}\"odel's negative interpretation to {ZF}},
  journal = {J. Symbolic Logic},
  year = {1975},
  volume = {40},
  pages = {221--229},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {02K15 (02C15)},
  mrnumber = {MR0379197 (52 \#103)},
  mrreviewer = {R. Rucker}
}

@INCOLLECTION{power:ncat-pasting,
  author = {Power, A. J.},
  title = {An {$n$}-categorical pasting theorem},
  booktitle = {Category theory (Como, 1990)},
  publisher = {Springer},
  year = {1991},
  volume = {1488},
  series = {Lecture Notes in Math.},
  pages = {326--358},
  address = {Berlin},
  mrclass = {18D05},
  mrnumber = {MR1173022 (93g:18013)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{power:2cat-pasting,
  author = {Power, A. J.},
  title = {A {$2$}-categorical pasting theorem},
  journal = {J. Algebra},
  year = {1990},
  volume = {129},
  pages = {439--445},
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  coden = {JALGA4},
  fjournal = {Journal of Algebra},
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  mrclass = {18D05},
  mrnumber = {MR1040947 (91d:18009)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{power:coherence,
  author = {Power, A. J.},
  title = {A general coherence result},
  journal = {J. Pure Appl. Algebra},
  year = {1989},
  volume = {57},
  pages = {165--173},
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  mrclass = {18D05 (18A25 18D20)},
  mrnumber = {MR985657 (90k:18007)},
  mrreviewer = {F. E. J. Linton}
}

@ARTICLE{EDI-INF-RR-0414,
  author = {John Power},
  title = {Generic models for computational effects},
  journal = {Theoretical Computer Science},
  year = {2006},
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  pages = {254-269},
  doi = {10.1016/j.tcs.2006.08.006},
  publisher = {Elsevier}
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@ARTICLE{power:premonoidal,
  author = {John Power},
  title = {Premonoidal categories as categories with algebraic structure},
  journal = {Theoretical Computer Science},
  year = {2002},
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  pages = {303-321},
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}

@ARTICLE{power:enr-theories,
  author = {Power, John},
  title = {Enriched {L}awvere theories},
  journal = {Theory Appl. Categ.},
  year = {1999},
  volume = {6},
  pages = {83--93 (electronic)},
  note = {The Lambek Festschrift},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18C10 (18C15 18D05)},
  mrnumber = {MR1732465 (2000j:18002)}
}

@ARTICLE{pr:pie-limits,
  author = {John Power and Edmund Robinson},
  title = {A characterization of {PIE}-limits},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = {1991},
  volume = {110},
  pages = {33--47},
  number = {1}
}

@ARTICLE{pronk:bicat-frac,
  author = {Pronk, Dorette A.},
  title = {Etendues and stacks as bicategories of fractions},
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  author = {Street, Ross},
  title = {Functorial calculus in monoidal bicategories},
  journal = {Appl. Categ. Structures},
  year = {2003},
  volume = {11},
  pages = {219--227},
  number = {3},
  coden = {ACASE6},
  fjournal = {Applied Categorical Structures. A Journal Devoted to Applications
	of Categorical Methods in Algebra, Analysis, Order, Topology and
	Computer Science},
  issn = {0927-2852},
  mrclass = {18D05 (18D10 18D20)},
  mrnumber = {MR1990033 (2004f:18010)}
}

@ARTICLE{street:petit-globset,
  author = {Street, Ross},
  title = {The petit topos of globular sets},
  journal = {J. Pure Appl. Algebra},
  year = {2000},
  volume = {154},
  pages = {299--315},
  number = {1-3},
  note = {Category theory and its applications (Montreal, QC, 1997)},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18B25 (18D05)},
  mrnumber = {MR1787605 (2001f:18008)}
}

@INCOLLECTION{street:catstruct,
  author = {Street, Ross},
  title = {Categorical structures},
  booktitle = {Handbook of algebra, {V}ol.~1},
  publisher = {North-Holland},
  year = {1996},
  pages = {529--577},
  address = {Amsterdam},
  doi = {10.1016/S1570-7954(96)80019-2},
  mrclass = {18D05 (18-02)},
  mrnumber = {MR1421811 (97j:18007)},
  mrreviewer = {Richard John Steiner},
  url = {http://dx.doi.org/10.1016/S1570-7954(96)80019-2}
}

@MISC{street:ldtop-hocat,
  author = {Ross Street},
  title = {Low-dimensional topology and higher-order categories {I}},
  howpublished = {Proceedings of CT95, Halifax},
  month = {July},
  year = {1995},
  note = {Available at \url{http://www.mta.ca/~cat-dist/CT95Docs/LowDim.ps}}
}

@ARTICLE{street:cor-fibi,
  author = {Street, Ross},
  title = {Correction to: ``{F}ibrations in bicategories'' [{C}ahiers {T}opologie
	{G}\'eom.\ {D}iff\'erentielle {\bf 21} (1980), no.\ 2, 111--160;
	{MR}0574662 (81f:18028)]},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
  year = {1987},
  volume = {28},
  pages = {53--56},
  number = {1},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {0008-0004},
  mrclass = {18D05 (18D30)},
  mrnumber = {MR903151 (88i:18004)}
}

@ARTICLE{street:family,
  author = {Street, Ross},
  title = {The family approach to total cocompleteness and toposes},
  journal = {Trans. Amer. Math. Soc.},
  year = {1984},
  volume = {284},
  pages = {355--369},
  number = {1},
  coden = {TAMTAM},
  fjournal = {Transactions of the American Mathematical Society},
  issn = {0002-9947},
  mrclass = {18B25 (18A30 18A32 18A35 18F10 18F20)},
  mrnumber = {MR742429 (85f:18003)},
  mrreviewer = {M. Barr}
}

@ARTICLE{street:absolute,
  author = {Street, Ross},
  title = {Absolute colimits in enriched categories},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1983},
  volume = {24},
  pages = {377--379},
  number = {4},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18A30 (18D20)},
  mrnumber = {MR749468 (85i:18001)},
  mrreviewer = {G. M. Kelly}
}

@INPROCEEDINGS{street:enr-cohom,
  author = {Street, Ross},
  title = {Enriched categories and cohomology},
  booktitle = {Proceedings of the Symposium on Categorical Algebra and Topology
	(Cape Town, 1981)},
  year = {1983},
  volume = {6},
  pages = {265--283},
  note = {Reprinted as Repr. Theory Appl. Categ. 14:1--18, 2005.},
  fjournal = {Quaestiones Mathematicae},
  issn = {0379-9468},
  journal = {Quaestiones Math.},
  mrclass = {18D20 (18B25 18D30)},
  mrnumber = {MR700252 (85e:18007)},
  mrreviewer = {Marta C. Bunge}
}

@INCOLLECTION{street:stacks,
  author = {Street, Ross},
  title = {Characterizations of bicategories of stacks},
  booktitle = {Category theory (Gummersbach, 1981)},
  publisher = {Springer},
  year = {1982},
  volume = {962},
  series = {Lecture Notes in Math.},
  pages = {282--291},
  address = {Berlin},
  mrclass = {18D05 (18F20)},
  mrnumber = {MR682967 (84d:18006)}
}

@ARTICLE{street:two-d-sheaves,
  author = {Street, Ross},
  title = {Two-dimensional sheaf theory},
  journal = {J. Pure Appl. Algebra},
  year = {1982},
  volume = {23},
  pages = {251--270},
  number = {3},
  coden = {JPAAA},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18F20 (18D05)},
  mrnumber = {MR644277 (83d:18014)},
  mrreviewer = {M. Barr}
}

@ARTICLE{street:cauchy-enr,
  author = {Street, Ross},
  title = {Cauchy characterization of enriched categories},
  journal = {Rend. Sem. Mat. Fis. Milano},
  year = {1981},
  volume = {51},
  pages = {217--233 (1983)},
  note = {Reprinted as Repr. Theory Appl. Categ. 4:1--16, 2004.},
  fjournal = {Rendiconti del Seminario Matematico e Fisico di Milano},
  issn = {0370-7377}
}

@ARTICLE{street:conspectus,
  author = {Street, Ross},
  title = {Conspectus of variable categories},
  journal = {J. Pure Appl. Algebra},
  year = {1981},
  volume = {21},
  pages = {307--338},
  number = {3},
  coden = {JPAAA},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05},
  mrnumber = {MR617138 (84i:18006)},
  mrreviewer = {Andreas Blass}
}

@ARTICLE{street:topos,
  author = {Street, Ross},
  title = {Notions of topos},
  journal = {Bull. Austral. Math. Soc.},
  year = {1981},
  volume = {23},
  pages = {199--208},
  number = {2},
  coden = {ALNBAB},
  fjournal = {Bulletin of the Australian Mathematical Society},
  issn = {0004-9727},
  mrclass = {18B25 (03G25 18F10)},
  mrnumber = {MR617062 (83a:18014)},
  mrreviewer = {Murray Adelman}
}

@ARTICLE{street:cosmoi-internal,
  author = {Street, Ross},
  title = {Cosmoi of internal categories},
  journal = {Trans. Amer. Math. Soc.},
  year = {1980},
  volume = {258},
  pages = {271--318},
  number = {2},
  coden = {TAMTAM},
  fjournal = {Transactions of the American Mathematical Society},
  issn = {0002-9947},
  mrclass = {18D35 (18C10 18F20)},
  mrnumber = {MR558176 (82a:18007)},
  mrreviewer = {G. M. Kelly}
}

@ARTICLE{street:fibi,
  author = {Street, Ross},
  title = {Fibrations in bicategories},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1980},
  volume = {21},
  pages = {111--160},
  number = {2},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18D05 (18D30)},
  mrnumber = {MR574662 (81f:18028)},
  mrreviewer = {Timothy Porter}
}

@ARTICLE{street:catval-2lim,
  author = {Street, Ross},
  title = {Limits indexed by category-valued {$2$}-functors},
  journal = {J. Pure Appl. Algebra},
  year = {1976},
  volume = {8},
  pages = {149--181},
  number = {2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05},
  mrnumber = {MR0401868 (53 \#5695)},
  mrreviewer = {Robert C. Davis}
}

@INCOLLECTION{street:elem-cosmoi-i,
  author = {Street, Ross},
  title = {Elementary cosmoi. {I}},
  booktitle = {Category Seminar (Proc. Sem., Sydney, 1972/1973)},
  publisher = {Springer},
  year = {1974},
  pages = {134--180. Lecture Notes in Math., Vol. 420},
  address = {Berlin},
  mrclass = {18D99},
  mrnumber = {MR0354813 (50 \#7290)},
  mrreviewer = {H. Gonshor}
}

@INCOLLECTION{street:fib-yoneda-2cat,
  author = {Street, Ross},
  title = {Fibrations and {Y}oneda's lemma in a {$2$}-category},
  booktitle = {Category Seminar (Proc. Sem., Sydney, 1972/1973)},
  publisher = {Springer},
  year = {1974},
  pages = {104--133. Lecture Notes in Math., Vol. 420},
  address = {Berlin},
  mrclass = {18D05},
  mrnumber = {MR0396723 (53 \#585)},
  mrreviewer = {A. Pultr}
}

@ARTICLE{MR0347936,
  author = {Street, Ross},
  title = {Two constructions on lax functors},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1972},
  volume = {13},
  pages = {217--264},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {0008-0004},
  mrclass = {18C15},
  mrnumber = {MR0347936 (50 \#436)},
  mrreviewer = {J. Duskin}
}

@ARTICLE{street:ftm,
  author = {Street, Ross},
  title = {The formal theory of monads},
  journal = {J. Pure Appl. Algebra},
  year = {1972},
  volume = {2},
  pages = {149--168},
  number = {2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18C15},
  mrnumber = {MR0299653 (45 \#8701)},
  mrreviewer = {F. E. J. Linton}
}

@ARTICLE{stww:semitop-iii,
  author = {Street, Ross and Tholen, Walter and Wischnewsky, Manfred and Wolff,
	Harvey},
  title = {Semitopological functors. {III}. {L}ifting of monads and adjoint
	functors},
  journal = {J. Pure Appl. Algebra},
  year = {1980},
  volume = {16},
  pages = {299--314},
  number = {3},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18A40},
  mrnumber = {MR558494 (81g:18003)},
  mrreviewer = {M. Hu{\v{s}}ek}
}

@ARTICLE{street-walters:yoneda,
  author = {Street, Ross and Walters, Robert},
  title = {Yoneda structures on 2-categories},
  journal = {J. Algebra},
  year = {1978},
  volume = {50},
  pages = {350--379},
  number = {2},
  fjournal = {Journal of Algebra},
  issn = {0021-8693},
  mrclass = {18D05},
  mrnumber = {MR0463261 (57 \#3214)},
  mrreviewer = {Symeon Bozapalides}
}

@ARTICLE{sw:cmprh-fact-funct,
  author = {Street, Ross and Walters, R.F.C.},
  title = {The comprehensive factorization of a functor},
  journal = {Bull. Amer. Math. Soc.},
  year = {1973},
  volume = {79},
  pages = {936--941},
  mrclass = {18A20 (18D99)},
  mrnumber = {MR0346027 (49 \#10753)},
  mrreviewer = {A. Pultr}
}

@UNPUBLISHED{streicher:fibredcats,
  author = {Thomas Streicher},
  title = {Fibred categories \`a la {J}ean {B}\'enabou},
  note = {Available at \url{http://www.mathematik.tu-darmstadt.de/~streicher/FIBR/FibLec.pdf.gz}}
}

@UNPUBLISHED{streicher:moens,
  author = {Thomas Streicher},
  title = {The World's Simplest Proof of Moens' Lemma},
  note = {Available at \url{http://www.mathematik.tu-darmstadt.de/~streicher/FIBR/SimplMoens.pdf.gz}},
  annote = {All lextensive fibrations arise by Artin gluing from a lex functor}
}

@INCOLLECTION{streicher:universes,
  author = {Streicher, Thomas},
  title = {Universes in toposes},
  booktitle = {From sets and types to topology and analysis},
  publisher = {Oxford Univ. Press},
  year = {2005},
  volume = {48},
  series = {Oxford Logic Guides},
  pages = {78--90},
  address = {Oxford},
  mrclass = {03G30 (03F50 03F65 18B25)},
  mrnumber = {MR2188637 (2006g:03120)}
}

@BOOK{ls:infinitesimals,
  title = {Introduction to the Theory of Infinitesimals},
  publisher = {Academic Press},
  year = {1976},
  author = {K.D. Stroyan and W. A. J. Luxemburg},
  series = {Pure and Applied Mathematics}
}

@ARTICLE{strom:the-htpy-cat,
  author = {Str{\o}m, Arne},
  title = {The homotopy category is a homotopy category},
  journal = {Arch. Math. (Basel)},
  year = {1972},
  volume = {23},
  pages = {435--441},
  fjournal = {Archiv der Mathematik},
  mrclass = {55F05},
  mrnumber = {MR0321082 (47 \#9615)},
  mrreviewer = {A. K. Bousfield}
}
%  issn = {0003-889X},

@ARTICLE{strom:cofib-ii,
  author = {Str{\o}m, Arne},
  title = {Note on cofibrations. {II}},
  journal = {Math. Scand.},
  year = {1968},
  volume = {22},
  pages = {130--142 (1969)},
  fjournal = {Mathematica Scandinavica},
  issn = {0025-5521},
  mrclass = {55.50},
  mrnumber = {MR0243525 (39 \#4846)},
  mrreviewer = {J. Dugundji}
}

@ARTICLE{strom:cofib,
  author = {Str{\o}m, Arne},
  title = {Note on cofibrations},
  journal = {Math. Scand.},
  year = {1966},
  volume = {19},
  pages = {11--14},
  fjournal = {Mathematica Scandinavica},
  issn = {0025-5521},
  mrclass = {55.40 (54.00)},
  mrnumber = {MR0211403 (35 \#2284)},
  mrreviewer = {J. Dugundji}
}

@ARTICLE{MR0485246,
  author = {Szabo, Manfred E.},
  title = {The logic of closed categories},
  journal = {Notre Dame J. Formal Logic},
  year = {1977},
  volume = {18},
  pages = {441--457},
  number = {3},
  fjournal = {Notre Dame Journal of Formal Logic},
  issn = {0029-4527},
  mrclass = {02D99 (02J99 18D15)},
  mrnumber = {MR0485246 (58 \#5093)},
  mrreviewer = {J. Lambek}
}

@UNPUBLISHED{tabuada:spectral-cats,
  author = {Goncalo Tabuada},
  title = {Homotopy theory of Spectral categories},
  note = {arXiv:0801.4524}
}

@ARTICLE{tabuada:modelcat-dgcat,
  author = {Tabuada, Goncalo},
  title = {Une structure de cat\'egorie de mod\`eles de {Q}uillen sur la cat\'egorie
	des dg-cat\'egories},
  journal = {C. R. Math. Acad. Sci. Paris},
  year = {2005},
  volume = {340},
  pages = {15--19},
  number = {1},
  fjournal = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
  issn = {1631-073X},
  mrclass = {18E99},
  mrnumber = {MR2112034 (2005h:18033)}
}

@INCOLLECTION{MR723164,
  author = {Takeuti, Gaisi},
  title = {Quantum set theory},
  booktitle = {Current issues in quantum logic ({E}rice, 1979)},
  publisher = {Plenum},
  year = {1981},
  volume = {8},
  series = {Ettore Majorana Internat. Sci. Ser.: Phys. Sci.},
  pages = {303--322},
  address = {New York},
  mrclass = {03G12 (03E70)},
  mrnumber = {MR723164 (84j:03136)}
}

@ARTICLE{MR540672,
  author = {Takeuti, Gaisi},
  title = {A transfer principle in harmonic analysis},
  journal = {J. Symbolic Logic},
  year = {1979},
  volume = {44},
  pages = {417--440},
  number = {3},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03E75 (03E40 03H20 22D05)},
  mrnumber = {MR540672 (80h:03077)},
  mrreviewer = {W. A. J. Luxemburg}
}

@INCOLLECTION{MR555569,
  author = {Takeuti, Gaisi},
  title = {Boolean valued analysis},
  booktitle = {Applications of sheaves ({P}roc. {R}es. {S}ympos. {A}ppl. {S}heaf
	{T}heory to {L}ogic, {A}lgebra and {A}nal., {U}niv. {D}urham, {D}urham,
	1977)},
  publisher = {Springer},
  year = {1979},
  volume = {753},
  series = {Lecture Notes in Math.},
  pages = {714--731},
  address = {Berlin},
  mrclass = {03E40 (47D25 81B05)},
  mrnumber = {MR555569 (81c:03045)},
  mrreviewer = {J. L. Bell}
}

@BOOK{MR0505474,
  title = {Two applications of logic to mathematics},
  publisher = {Iwanami Shoten},
  year = {1978},
  author = {Takeuti, Gaisi},
  pages = {viii+138},
  address = {Publishers, Tokyo},
  note = {Kan{\^o} Memorial Lectures, Vol. 3, Publications of the Mathematical
	Society of Japan, No. 13},
  isbn = {0-691-08212-X},
  mrclass = {02H25 (02D99 47A10)},
  mrnumber = {MR0505474 (58 \#21591)},
  mrreviewer = {L. Lipshitz}
}

@INCOLLECTION{tt:heytval-ist,
  author = {Takeuti, Gaisi and Titani, Satoko},
  title = {Heyting-valued universes of intuitionistic set theory},
  booktitle = {Logic {S}ymposia, {H}akone 1979, 1980 ({H}akone, 1979/1980)},
  publisher = {Springer},
  year = {1981},
  volume = {891},
  series = {Lecture Notes in Math.},
  pages = {189--306},
  address = {Berlin},
  mrclass = {03F55 (03E40)},
  mrnumber = {MR656970 (84g:03100)},
  mrreviewer = {Wim Veldman}
}

@BOOK{taylor:pracfdn,
  title = {Practical foundations of mathematics},
  publisher = {Cambridge University Press},
  year = {1999},
  author = {Taylor, Paul},
  volume = {59},
  pages = {xii+572},
  series = {Cambridge Studies in Advanced Mathematics},
  address = {Cambridge},
  isbn = {0-521-63107-6},
  mrclass = {03-02 (00A30 03B15 03B40 03G30 18-02)},
  mrnumber = {MR1694820 (2000h:03002)}
}

@ARTICLE{taylor:ordinals,
  author = {Taylor, Paul},
  title = {Intuitionistic sets and ordinals},
  journal = {J. Symbolic Logic},
  year = {1996},
  volume = {61},
  pages = {705--744},
  number = {3},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03E70 (03F55)},
  mrnumber = {MR1412506 (97j:03102)},
  mrreviewer = {Wim Ruitenburg}
}

@INPROCEEDINGS{MR0506548,
  author = {Tholen, Walter},
  title = {Factorizations of cones along a functor},
  booktitle = {Proceedings of the Second Symposium on Categorical Topology (Univ.
	Cape Town, Cape Town, 1976)},
  year = {1977/78},
  volume = {2},
  number = {1-3},
  pages = {335--353},
  fjournal = {Quaestiones Mathematicae},
  issn = {0379-9468},
  journal = {Quaestiones Math.},
  mrclass = {18A40},
  mrnumber = {MR0506548 (58 \#22224)},
  mrreviewer = {D. Pumplun}
}

@ARTICLE{tholen:ordtop,
  author = {Tholen, Walter},
  title = {Ordered topological structures},
  journal = {Topology Appl.},
  year = {2009},
  volume = {156},
  pages = {2148--2157},
  number = {12},
  coden = {TIAPD9},
  fjournal = {Topology and its Applications},
  issn = {0166-8641},
  mrclass = {18B30 (06B35 54A20)},
  mrnumber = {MR2532144}
}

@INCOLLECTION{MR1854596,
  author = {Tholen, Walter},
  title = {Essential weak factorization systems},
  booktitle = {Contributions to general algebra, 13 (Velk\'e Karlovice, 1999/Dresden,
	2000)},
  publisher = {Heyn},
  year = {2001},
  pages = {321--333},
  address = {Klagenfurt},
  mrclass = {18A32 (18G05)},
  mrnumber = {MR1854596 (2002f:18004)}
}

@ARTICLE{tholen:pro-multiadjt,
  author = {Tholen, Walter},
  title = {Pro-categories and multiadjoint functors},
  journal = {Canad. J. Math.},
  year = {1984},
  volume = {36},
  pages = {144--155},
  number = {1},
  coden = {CJMAAB},
  fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques},
  issn = {0008-414X},
  mrclass = {18A40},
  mrnumber = {MR733712 (85j:18002)},
  mrreviewer = {Timothy Porter}
}

@ARTICLE{tholen:total,
  author = {Tholen, Walter},
  title = {Note on total categories},
  journal = {Bull. Austral. Math. Soc.},
  year = {1980},
  volume = {21},
  pages = {169--173},
  number = {2},
  coden = {ALNBAB},
  fjournal = {Bulletin of the Australian Mathematical Society},
  issn = {0004-9727},
  mrclass = {18A40 (18B30)},
  mrnumber = {MR574836 (81h:18002)},
  mrreviewer = {Ji{\v{r}}{\'{\i}} Ad{\'a}mek}
}

@INCOLLECTION{t:lifting-semifinal,
  author = {Tholen, Walter},
  title = {Lifting semifinal liftings},
  booktitle = {Categorical topology (Proc. Internat. Conf., Free Univ. Berlin, Berlin,
	1978)},
  publisher = {Springer},
  year = {1979},
  volume = {719},
  series = {Lecture Notes in Math.},
  pages = {376--385},
  address = {Berlin},
  mrclass = {18A40 (18A99)},
  mrnumber = {MR544661 (81a:18004)},
  mrreviewer = {A. Pultr}
}

@ARTICLE{tholen:semitop-i,
  author = {Tholen, Walter},
  title = {Semitopological functors. {I}},
  journal = {J. Pure Appl. Algebra},
  year = {1979},
  volume = {15},
  pages = {53--73},
  number = {1},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D99 (18A40 54B30)},
  mrnumber = {MR532963 (80k:18012a)},
  mrreviewer = {M. Hu{\v{s}}ek}
}

@ARTICLE{tw:semitop-ii,
  author = {Tholen, Walter and Wischnewsky, Manfred B.},
  title = {Semitopological functors. {II}. {E}xternal characterizations},
  journal = {J. Pure Appl. Algebra},
  year = {1979},
  volume = {15},
  pages = {75--92},
  number = {1},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D99 (18A40 54B30)},
  mrnumber = {MR532964 (80k:18012b)},
  mrreviewer = {M. Hu{\v{s}}ek}
}

@ARTICLE{thomason:cat-model,
  author = {Thomason, R. W.},
  title = {Cat as a closed model category},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1980},
  volume = {21},
  pages = {305--324},
  number = {3},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18A99 (55U35)},
  mrnumber = {MR591388 (82b:18005)},
  mrreviewer = {Harold Hastings}
}

@ARTICLE{thomason:uniq-deloop,
  author = {Thomason, R. W.},
  title = {Uniqueness of delooping machines},
  journal = {Duke Math. J.},
  year = {1979},
  volume = {46},
  pages = {217--252},
  number = {2},
  coden = {DUMJAO},
  fjournal = {Duke Mathematical Journal},
  issn = {0012-7094},
  mrclass = {55P35 (55R35)},
  mrnumber = {MR534053 (80e:55013)},
  mrreviewer = {J. F. Adams}
}

@BOOK{thron:top-str,
  title = {Topological structures},
  publisher = {Holt},
  year = {1966},
  author = {Thron, Wolfgang J.},
  pages = {x+240},
  address = {Rinehart and Winston, New York},
  mrclass = {54.00},
  mrnumber = {MR0200892 (34 \#778)},
  mrreviewer = {J. Dugundji}
}

@ARTICLE{toen:locconst,
  author = {Toen, Bertrand},
  title = {Vers une interpr\'etation galoisienne de la th\'eorie de l'homotopie},
  journal = {Cah. Topol. G\'eom. Diff\'er. Cat\'eg.},
  year = {2002},
  volume = {43},
  pages = {257--312},
  number = {4},
  eprint = {arXiv:math.AT/0007157},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {1245-530X},
  mrclass = {55U40 (18G30 55P35)},
  mrnumber = {MR1949660 (2003m:55030)}
}

@ARTICLE{toen:ax,
  author = {To{\"e}n, Bertrand},
  title = {Vers une axiomatisation de la th\'eorie des cat\'egories sup\'erieures},
  journal = {$K$-Theory},
  year = {2005},
  volume = {34},
  pages = {233--263},
  number = {3},
  coden = {KTHEEO},
  eprint = {math.CT/0409598},
  fjournal = {$K$-Theory. An Interdisciplinary Journal for the Development, Application,
	and Influence of $K$-Theory in the Mathematical Sciences},
  issn = {0920-3036},
  mrclass = {55U35 (18D05 18G55)},
  mrnumber = {MR2182378 (2006m:55041)},
  mrreviewer = {Mamuka Jibladze}
}

@ARTICLE{trnkova:cls-setfrs-i,
  author = {Trnkov{\'a}, V{\v{e}}ra},
  title = {On descriptive classification of set-functors. {I}},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1971},
  volume = {12},
  pages = {143--174},
  fjournal = {Commentationes Mathematicae Universitatis Carolinae},
  issn = {0010-2628},
  mrclass = {18A99 (04A15)},
  mrnumber = {MR0294445 (45 \#3515)},
  mrreviewer = {O. Wyler}
}

@ARTICLE{trnkova:cls-setfrs-ii,
  author = {Trnkov{\'a}, V{\v{e}}ra},
  title = {On descriptive classification of set-functors. {II}},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1971},
  volume = {12},
  pages = {345--357},
  fjournal = {Commentationes Mathematicae Universitatis Carolinae},
  issn = {0010-2628},
  mrclass = {18A99 (04A15)},
  mrnumber = {MR0294446 (45 \#3516)},
  mrreviewer = {O. Wyler}
}

@BOOK{tvd:constructivism-i,
  title = {Constructivism in mathematics. {V}ol. {I}},
  publisher = {North-Holland Publishing Co.},
  year = {1988},
  author = {Troelstra, A. S. and van Dalen, D.},
  volume = {121},
  pages = {xx+342+XIV},
  series = {Studies in Logic and the Foundations of Mathematics},
  address = {Amsterdam},
  isbn = {0-444-70266-0; 0-444-70506-6},
  mrclass = {03-01 (03D20 03Fxx)},
  mrnumber = {MR966421 (90e:03002a)},
  mrreviewer = {G. E. Mints}
}

@BOOK{tvd:constructivism-ii,
  title = {Constructivism in mathematics. {V}ol. {II}},
  publisher = {North-Holland Publishing Co.},
  year = {1988},
  author = {Troelstra, A. S. and van Dalen, D.},
  volume = {123},
  pages = {i--xviii and 345--880 and I--LII},
  series = {Studies in Logic and the Foundations of Mathematics},
  address = {Amsterdam},
  isbn = {0-444-70358-6},
  mrclass = {03-01 (03B15 03Fxx 03G30)},
  mrnumber = {MR970277 (90e:03002b)},
  mrreviewer = {G. E. Mints}
}

@ARTICLE{ulmer:dense-rel-adjt,
  author = {Ulmer, Friedrich},
  title = {Properties of dense and relative adjoint functors},
  journal = {J. Algebra},
  year = {1968},
  volume = {8},
  pages = {77--95},
  fjournal = {Journal of Algebra},
  issn = {0021-8693},
  mrclass = {18.10},
  mrnumber = {MR0222138 (36 \#5190)},
  mrreviewer = {M. Barr}
}

@ARTICLE{exact-yoneda,
  author = {Van den Bril, Luc},
  title = {Exactitude dans les {Y}oneda-structures},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1982},
  volume = {23},
  pages = {215--224},
  number = {2},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18C99 (18D05)},
  mrnumber = {MR667400 (84a:18012)},
  mrreviewer = {G. M. Kelly}
}

@PHDTHESIS{verity:base-change,
  author = {Dominic Verity},
  title = {Enriched categories, internal categories, and change of base},
  school = {University of Cambridge},
  year = {1992},
  month = {April},
  note = {Macquarie Mathematics Report No. 93-123}
}

@INCOLLECTION{vickers:loctopsp,
  author = {Vickers, Steven},
  title = {Locales and toposes as spaces},
  booktitle = {Handbook of spatial logics},
  publisher = {Springer},
  year = {2007},
  pages = {429--496},
  address = {Dordrecht},
  note = {Preprint available online at \url{http://www.cs.bham.ac.uk/~sjv/papersfull.php\#LocTopSpaces}},
  mrclass = {03G30 (18B25 54B30)},
  mrnumber = {MR2393892}
}

@ARTICLE{MR2182680,
  author = {Vickers, Steven},
  title = {Localic completion of generalized metric spaces. {I}},
  journal = {Theory Appl. Categ.},
  year = {2005},
  volume = {14},
  pages = {No. 15, 328--356 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {54E50 (03G30 06D22 18D20 26E40)},
  mrnumber = {MR2182680 (2006h:54025)},
  mrreviewer = {Hans-Peter A. K{\"u}nzi}
}

@ARTICLE{MR1996461,
  author = {Vogt, R. M.},
  title = {Cofibrant operads and universal {$E\sb \infty$} operads},
  journal = {Topology Appl.},
  year = {2003},
  volume = {133},
  pages = {69--87},
  number = {1},
  coden = {TIAPD9},
  fjournal = {Topology and its Applications},
  issn = {0166-8641},
  mrclass = {18D50 (55P48)},
  mrnumber = {MR1996461 (2004e:18014)}
}

@ARTICLE{walters:sheaves-cauchy-2,
  author = {Walters, R.F.C.},
  title = {Sheaves on sites as {C}auchy-complete categories},
  journal = {J. Pure Appl. Algebra},
  year = {1982},
  volume = {24},
  pages = {95--102},
  number = {1},
  coden = {JPAAA},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18F20 (18F10)},
  mrnumber = {MR647583 (83e:18006)},
  mrreviewer = {Harvey Wolff}
}

@ARTICLE{walters:sheaves-cauchy-1,
  author = {Walters, R.F.C.},
  title = {Sheaves and {C}auchy-complete categories},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = 1981,
  volume = 22,
  pages = {283--286},
  number = 3,
  note = {Third Colloquium on Categories, Part IV (Amiens, 1980)},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18F20 (03G30 18D20)},
  mrnumber = {MR649076 (83f:18011)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{wang:truth-def,
  author = {Wang, Hao},
  title = {Truth definitions and consistency proofs},
  journal = {Trans. Amer. Math. Soc.},
  year = {1952},
  volume = {73},
  pages = {243--275},
  fjournal = {Transactions of the American Mathematical Society},
  issn = {0002-9947},
  mrclass = {02.0X},
  mrnumber = {MR0049136 (14,123a)},
  mrreviewer = {G. Kreisel}
}

@ARTICLE{MR0396578,
  author = {Waterhouse, William C.},
  title = {Basically bounded functors and flat sheaves},
  journal = {Pacific J. Math.},
  year = {1975},
  volume = {57},
  pages = {597--610},
  number = {2},
  fjournal = {Pacific Journal of Mathematics},
  issn = {0030-8730},
  mrclass = {14F20},
  mrnumber = {MR0396578 (53 \#441)},
  mrreviewer = {Andy R. Magid}
}

@ARTICLE{weaver:axiomatizing,
  author = {Nik Weaver},
  title = {Axiomatizing mathematical conceptualism in third order arithmetic},
  year = {2009},
  month = may,
  abstract = {We review the philosophical framework of mathematical conceptualism
	as an alternative to set-theoretic foundations and show how mainstream
	mathematics can be developed on this basis. The paper includes an
	explicit axiomatization of the basic principles of conceptualism
	in a formal system CM set in the language of third order arithmetic.},
  comments = {31 pages},
  eprint = {0905.1675},
  file = {Axiomatizing mathematical conceptualism in third order arithmetic
	0905.1675v1.pdf:Weaver, Nik/Axiomatizing mathematical conceptualism
	in third order arithmetic 0905.1675v1.pdf:PDF},
  oai2identifier = {0905.1675}
}

@ARTICLE{weaver:concept,
  author = {Nik Weaver},
  title = {The concept of a set},
  year = {2009},
  month = may,
  abstract = {Metaphysical interpretations of set theory are either inconsistent
	or incoherent. The uses of sets in mathematics actually involve three
	distinct kinds of collections (surveyable, definite, and heuristic),
	which are governed by three different kinds of logic (classical,
	intuitionistic, and minimal). A foundational system incorporating
	this analysis and based on the principles of mathematical conceptualism
	accords better with actual mathematical practice than Zermelo-Fraenkel
	set theory does.},
  comments = {11 pages},
  eprint = {0905.1677},
  file = {The concept of a set 0905.1677v1.pdf:Weaver, Nik/The concept of a
	set 0905.1677v1.pdf:PDF},
  oai2identifier = {0905.1677}
}

@ARTICLE{weaver:constructive,
  author = {Nik Weaver},
  title = {Constructive truth and circularity},
  year = {2009},
  month = may,
  abstract = {We propose a constructive interpretation of truth which resolves the
	standard semantic paradoxes.},
  comments = {10 pages},
  eprint = {0905.1681},
  file = {Constructive truth and circularity 0905.1681v1.pdf:Weaver, Nik/Constructive
	truth and circularity 0905.1681v1.pdf:PDF},
  oai2identifier = {0905.1681}
}

@ARTICLE{weaver:is,
  author = {Nik Weaver},
  title = {Is set theory indispensable?},
  year = {2009},
  month = may,
  abstract = {Although Zermelo-Fraenkel set theory (ZFC) is generally accepted as
	the appropriate foundation for modern mathematics, proof theorists
	have known for decades that virtually all mainstream mathematics
	can actually be formalized in much weaker systems which are essentially
	number-theoretic in nature. Feferman has observed that this severely
	undercuts a famous argument of Quine and Putnam according to which
	set theoretic platonism is validated by the fact that mathematics
	is "indispensable" for some successful scientific theories (since
	in fact ZFC is not needed for the mathematics that is currently used
	in science). I extend this critique in three ways: (1) not only is
	it possible to formalize core mathematics in these weaker systems,
	they are in important ways better suited to the task than ZFC; (2)
	an improved analysis of the proof-theoretic strength of predicative
	theories shows that most if not all of the already rare examples
	of mainstream theorems whose proofs are currently thought to require
	metaphysically substantial set-theoretic principles actually do not;
	and (3) set theory itself, as it is actually practiced, is best understood
	in formalist, not platonic, terms, so that in a real sense *set theory
	is not even indispensable for set theory*. I also make the point
	that even if ZFC is consistent, there are good reasons to suspect
	that some number-theoretic assertions provable in ZFC may be false.
	This suggests that set theory should not be considered central to
	mathematics.},
  comments = {21 pages},
  eprint = {0905.1680},
  file = {Is set theory indispensable 0905.1680v1.pdf:Weaver, Nik/Is set theory
	indispensable 0905.1680v1.pdf:PDF},
  oai2identifier = {0905.1680}
}

@ARTICLE{weaver:mathematical,
  author = {Nik Weaver},
  title = {Mathematical conceptualism},
  year = {2007},
  abstract = {This is an explanation and defense of "mathematical conceptualism"
	for a general mathematical and philosophical audience. I make a case
	that it is cogent, rigorous, attractive, and better suited to ordinary
	mathematical practice than all other foundational stances.},
  comments = {18 pages},
  eprint = {math/0509246},
  file = {Mathematical conceptualism 0509246.pdf:Weaver, Nik/Mathematical conceptualism
	0509246.pdf:PDF},
  oai2identifier = {math/0509246}
}

@ARTICLE{weber:2toposes,
  author = {Weber, Mark},
  title = {Yoneda structures from 2-toposes},
  journal = {Appl. Categ. Structures},
  year = {2007},
  volume = {15},
  pages = {259--323},
  number = {3},
  coden = {ACASE6},
  fjournal = {Applied Categorical Structures. A Journal Devoted to Applications
	of Categorical Methods in Algebra, Analysis, Order, Topology and
	Computer Science},
  issn = {0927-2852},
  mrclass = {18A05 (18A15 18B25 18D05)},
  mrnumber = {MR2320763}
}

@ARTICLE{weber:fam-pra,
  author = {Weber, Mark},
  title = {Familial 2-functors and parametric right adjoints},
  journal = {Theory Appl. Categ.},
  year = {2007},
  volume = {18},
  pages = {665--732 (electronic)},
  number = {22},
  fjournal = {Theory and Applications of Categories}
}

@ARTICLE{weber:operads,
  author = {Weber, Mark},
  title = {Operads within monoidal pseudo algebras},
  journal = {Appl. Categ. Structures},
  year = {2005},
  volume = {13},
  pages = {389--420},
  number = {5-6},
  coden = {ACASE6},
  fjournal = {Applied Categorical Structures. A Journal Devoted to Applications
	of Categorical Methods in Algebra, Analysis, Order, Topology and
	Computer Science},
  issn = {0927-2852},
  mrclass = {18D50 (18D05 18D10 55P48)},
  mrnumber = {MR2198810 (2006k:18013)},
  mrreviewer = {Beno\^ {\i}t Fresse}
}

@ARTICLE{weber:parmrep,
  author = {Weber, Mark},
  title = {Generic morphisms, parametric representations and weakly {C}artesian
	monads},
  journal = {Theory Appl. Categ.},
  year = {2004},
  volume = {13},
  pages = {No. 14, 191--234 (electronic)},
  fjournal = {Theory and Applications of Categories},
  issn = {1201-561X},
  mrclass = {18D50 (55P48)},
  mrnumber = {MR2116333 (2005h:18029)}
}

@ARTICLE{weibel:thomasonmcs,
  author = {Charles Weibel},
  title = {Homotopy ends and {T}homason model categories},
  journal = {Selecta Mathematica},
  year = {2001},
  volume = {7},
  pages = {533-564}
}

@BOOK{weir:realcompact,
  title = {Hewitt-{N}achbin spaces},
  publisher = {North-Holland Publishing Co.},
  year = {1975},
  author = {Weir, Maurice D.},
  pages = {viii+270},
  address = {Amsterdam},
  note = {North-Holland Mathematics Studies, No. 17, Notas de Matem\'atica,
	No. 57. [Mathematical Notes, No. 57]},
  isbn = {0-7204-2718-5},
  mrclass = {54-02 (54D60)},
  mrnumber = {MR0514909 (58 \#24158)},
  mrreviewer = {H.-P. Butzmann}
}

@PHDTHESIS{weiss:dendroidal-sets,
  author = {Ittay Weiss},
  title = {Dendroidal Sets},
  school = {University of Utrecht?},
  year = {2007}
}

@ARTICLE{MR1856731,
  author = {Wilson, J. Todd},
  title = {An intuitionistic version of {Z}ermelo's proof that every choice
	set can be well-ordered},
  journal = {J. Symbolic Logic},
  year = {2001},
  volume = {66},
  pages = {1121--1126},
  number = {3},
  coden = {JSYLA6},
  fjournal = {The Journal of Symbolic Logic},
  issn = {0022-4812},
  mrclass = {03F55 (03E25 03G30)},
  mrnumber = {MR1856731 (2002g:03144)}
}

@ARTICLE{witbooi:excisive-triads,
  author = {Witbooi, P. J.},
  title = {Excisive triads and double mapping cylinders},
  journal = {Topology Appl.},
  year = {1999},
  volume = {95},
  pages = {169--172},
  number = {2},
  coden = {TIAPD9},
  fjournal = {Topology and its Applications},
  issn = {0166-8641},
  mrclass = {55R65 (55P10 55Q05)},
  mrnumber = {MR1696447 (2000d:55026)},
  mrreviewer = {Peter J. Eccles}
}

@ARTICLE{wolff:dl-lift,
  author = {Wolff, Harvey},
  title = {Distributive laws and lifting of triples},
  journal = {Comm. Algebra},
  year = {1977},
  volume = {5},
  pages = {981--996},
  number = {9},
  fjournal = {Communications in Algebra},
  issn = {0092-7872},
  mrclass = {18C15},
  mrnumber = {MR0442056 (56 \#444)},
  mrreviewer = {Robert C. Davis}
}

@ARTICLE{wolff:vcat,
  author = {Wolff, Harvey},
  title = {{$V$}-cat and {$V$}-graph},
  journal = {J. Pure Appl. Algebra},
  year = {1974},
  volume = {4},
  pages = {123--135},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D10},
  mrnumber = {MR0346029 (49 \#10755)},
  mrreviewer = {F. E. J. Linton}
}

@ARTICLE{wood:proarrows-ii,
  author = {Wood, R.~J.},
  title = {Proarrows. {II}},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
  year = {1985},
  volume = {26},
  pages = {135--168},
  number = {2},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
  issn = {0008-0004},
  mrclass = {18D05 (18D20)},
  mrnumber = {MR794752 (86i:18010)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{wood:proarrows-i,
  author = {Wood, R.~J.},
  title = {Abstract proarrows. {I}},
  journal = {Cahiers Topologie G\'eom. Diff\'erentielle},
  year = {1982},
  volume = {23},
  pages = {279--290},
  number = {3},
  coden = {CTGDBR},
  fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle},
  issn = {0008-0004},
  mrclass = {18D05 (18D20)},
  mrnumber = {MR675339 (84g:18022)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{wood:total,
  author = {Wood, R.~J.},
  title = {Some remarks on total categories},
  journal = {J. Algebra},
  year = {1982},
  volume = {75},
  pages = {538--545},
  number = {2},
  coden = {JALGA4},
  fjournal = {Journal of Algebra},
  issn = {0021-8693},
  mrclass = {18B99},
  mrnumber = {MR653907 (83f:18007)},
  mrreviewer = {R. H. Street}
}

@ARTICLE{whpt:2cat-model,
  author = {Worytkiewicz, K. and Hess, K. and Parent, P. E. and Tonks, A.},
  title = {A model structure \`a la {T}homason on {\bf 2-{C}at}},
  journal = {J. Pure Appl. Algebra},
  year = {2007},
  volume = {208},
  pages = {205--236},
  number = {1},
  coden = {JPAAA2},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  mrclass = {18D05 (55U35)},
  mrnumber = {MR2269840 (2007i:18006)},
  mrreviewer = {Richard John Steiner}
}

@BOOK{wyler:quasitopoi,
  title = {Lecture notes on topoi and quasitopoi},
  publisher = {World Scientific},
  year = {1991},
  author = {Oswald Wyler}
}

@INCOLLECTION{wyler:topoi-in-topology,
  author = {Wyler, Oswald},
  title = {Are there topoi in topology?},
  booktitle = {Categorical topology (Proc. Conf., Mannheim, 1975)},
  publisher = {Springer},
  year = {1976},
  pages = {699--719. Lecture Notes in Math., Vol. 540},
  address = {Berlin},
  mrclass = {54A05 (18B99)},
  mrnumber = {MR0458346 (56 \#16549)},
  mrreviewer = {Marta C. Bunge}
}

@ARTICLE{MR0324622,
  author = {Wyler, Oswald},
  title = {Convenient categories for topology},
  journal = {General Topology and Appl.},
  year = {1973},
  volume = {3},
  pages = {225--242},
  mrclass = {54B30 (18D15 54D55)},
  mrnumber = {MR0324622 (48 \#2972)},
  mrreviewer = {H. Herrlich}
}

@UNPUBLISHED{yau:colored-props,
  author = {Donald Yau},
  title = {Higher dimensional algebras via colored PROPs},
  note = {arXiv:0809.2161}
}

@UNPUBLISHED{lmw:folk-omegacat,
  author = {Yves Lafont, Francois Metayer, Krzysztof Worytkiewicz},
  title = {A folk model structure on omega-cat},
  note = {arXiv:0712.0617}
}

@UNPUBLISHED{zhu:ngpds,
  author = {Chenchang Zhu},
  title = {$n$-Groupoids and Stacky Groupoids},
  note = {arXiv:0801.2057},
  annote = {n-groupoids rel a coverage as simplicial objects}
}

@ARTICLE{zoberlein:kzmonads,
  author = {Z{\"o}berlein, Volker},
  title = {Doctrines on {$2$}-categories},
  journal = {Math. Z.},
  year = {1976},
  volume = {148},
  pages = {267--279},
  number = {3},
  fjournal = {Mathematische Zeitschrift},
  issn = {0025-5874},
  mrclass = {18C15 (02D99)},
  mrnumber = {MR0424896 (54 \#12854)},
  mrreviewer = {A. Preller}
}

@BOOK{dd:nsa-in-practice,
  title = {Nonstandard Analysis in Practice},
  publisher = {Springer},
  year = {1995},
  editor = {Francine Diener and Marc Diener},
  series = {Universitext}
}

@BOOK{sga1,
  title = {Rev\^etements \'etales et groupe fondamental ({SGA} 1)},
  publisher = {Soci\'et\'e Math\'ematique de France},
  year = {2003},
  editor = {A. Grothendieck},
  pages = {xviii+327},
  series = {Documents Math\'ematiques (Paris) [Mathematical Documents (Paris)],
	3},
  address = {Paris},
  note = {S\'eminaire de g\'eom\'etrie alg\'ebrique du Bois Marie 1960--61.
	[Algebraic Geometry Seminar of Bois Marie 1960-61], Directed by A.
	Grothendieck, With two papers by M. Raynaud, Updated and annotated
	reprint of the 1971 original [Lecture Notes in Math., 224, Springer,
	Berlin; MR0354651 (50 \#7129)]. Available online as math.AG/0206203.},
  isbn = {2-85629-141-4},
  mrclass = {14E20 (14-06 14F35)},
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@Unpublished{lawvere:perugia,
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@article {MR2496488,
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@article {MR2248398,
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@article {MR2259819,
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@article {MR2640215,
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@article {MR2272129,
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@article {MR2248546,
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@article {gh:ax-seq-conv,
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@Unpublished{ghj:zfcminus,
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@unpublished{cw:eohc,
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@article{ilf:pscom-kz,
title = "Pseudo-commutativity of KZ 2-monads",
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volume = "228",
number = "5",
pages = "2557 - 2605",
year = "2011",
note = "",
issn = "0001-8708",
doi = "10.1016/j.aim.2011.06.039",
url = "http://www.sciencedirect.com/science/article/pii/S0001870811002544",
author = "Ignacio {L{\'o}pez} Franco",
keywords = "Limit",
keywords = "2-Monad",
keywords = "KZ 2-monad",
keywords = "Pseudo-commutative 2-monad",
keywords = "2-Category"
}

@MISC {rezk:pshcss,    
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    NOTE = {\url{http://mathoverflow.net/questions/82711} (version: 2011-12-06)},
  year = 	 {2011},    
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}

@MISC {rezk:sscat,    
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}

@Unpublished{voevodsky:typesystems,
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@Misc{hottcoq,
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@Misc{hottagda,
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@article{gb:topsimpid,
 author = {{van den Berg}, Benno and Garner, Richard},
 title = {Topological and Simplicial Models of Identity Types},
 journal = {ACM Trans. Comput. Logic},
 issue_date = {January 2012},
 volume = {13},
 number = {1},
 year = {2012},
 pages = {3:1--3:44},
 articleno = {3},
 numpages = {44},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {Dependent type theory, categorical semantics, homotopy theory, identity types},
} 
% month = jan,
% issn = {1529-3785},
% url = {http://doi.acm.org/10.1145/2071368.2071371},
% doi = {10.1145/2071368.2071371},
% acmid = {2071371},

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  pages = 	 {609--638}}

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pages = "549 - 552",
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note = "",
issn = "1631-073X",
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 author = {Gambino, Nicola and Garner, Richard},
 title = {The identity type weak factorisation system},
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 issue = {1},
 month = {December},
 year = {2008},
 pages = {94--109},
 numpages = {16},
 publisher = {Elsevier Science Publishers Ltd.},
 address = {Essex, UK},
 keywords = {Dependent type theory, Identity type, Weak factorisation system},
}
% issn = {0304-3975},
% url = {http://dl.acm.org/citation.cfm?id=1458732.1458922},
% doi = {10.1016/j.tcs.2008.08.030},
% acmid = {1458922},

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%      ISSN = {0022-4812},
%       DOI = {10.2307/2273952},
%       URL = {http://dx.doi.org/10.2307/2273952},
                  
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@incollection{ak:htmtt,
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%   isbn = {978-3-642-21690-9},
%   url = {http://dx.doi.org/10.1007/978-3-642-21691-6_7},

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@incollection {MR2557839,
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@incollection {ls:adhesive,
    AUTHOR = {Lack, Stephen and Soboci{\'n}ski, Pawe{\l}},
     TITLE = {Adhesive categories},
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@MISC {MO:cdloc1,    
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@MISC {MO:cdloc2,
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@Article{ps:indexed,
  author = 	 {Kate Ponto and Michael Shulman},
  title = 	 {Duality and traces for indexed monoidal categories},
  journal = 	 {Theory and Applications of Categories},
  year = 	 2012,
  volume = 	 26,
  number = 	 23,
  pages = 	 {582--659 (electronic)}}

@Article{ps:mult,
  author = 	 {Kate Ponto and Michael Shulman},
  title = 	 {The multiplicativity of fixed point invariants},
  note = 	 {arXiv:1203.0950},
  journal = 	 {Algebraic and Geometric Topology},
  year = 	 2014,
  volume = 	 {14},
  pages = 	 {1275--1306}}

@Unpublished{shulman:setcat,
  author =       {Michael Shulman},
  year = 	 {2008},
  title =        {Set theory for category theory},
  note =         {arXiv:0810.1279}
}

@Unpublished{lack:strictweak,
  author =       {Stephen Lack},
  title =        {Strict morphisms and weak morphisms},
  note =         {Talk at International Category Theory Conference 2008.  Slides available at \texttt{http://www-lmpa.univ-littoral.fr/CT08/slides/Lack.pdf}},
  month =        {June},
  year =         2008
}

@article{ls:limlax,
title = "Enhanced 2-categories and limits for lax morphisms",
journal = "Advances in Mathematics",
volume = "229",
number = "1",
pages = "294--356",
year = "2012",
note = "arXiv:1104.2111",
issn = "0001-8708",
doi = "10.1016/j.aim.2011.08.014",
url = "http://www.sciencedirect.com/science/article/pii/S000187081100315X",
author = "Stephen Lack and Michael Shulman",
}

@Unpublished{shulman:ccrtraces,
  author =       {Michael Shulman},
  title =        {Traces in monoidal categories and bicategories},
  note =         {Talk at CCR La Jolla.  Slides available at \texttt{http://www.math.uchicago.edu/$\sim$shulman/research/ccrtraces.pdf}},
  month =        {August},
  year =         2008
}

@article{shulman:mat-struct,
title = "Comparing material and structural set theories",
journal = "Annals of Pure and Applied Logic",
volume = "170",
number = "4",
pages = "465 - 504",
year = "2019",
issn = "0168-0072",
doi = "https://doi.org/10.1016/j.apal.2018.11.002",
url = "http://www.sciencedirect.com/science/article/pii/S0168007218301295",
	note = 				 {arXiv:1808.05204},
author = "Michael Shulman",
}

@Unpublished{shulman:clog,
  author = 	 {Michael Shulman},
  title = 	 {Stack semantics and the comparison of material and structural set theories},
  note = 	 {arXiv:1004.3802},
  year = 	 2010
}

@Unpublished{shulman:stacksem,
  author = 	 {Michael Shulman},
  title = 	 {Stack semantics and unbounded quantifiers in topos theory},
  note = 	 {In preparation},
  year = 	 2018
}

@Unpublished{shulman:etlc,
  author =       {Michael Shulman},
  title =        {The elementary theory of large categories},
  note =         {In preparation},
  year =         {2010}
}

@Unpublished{rs:2sheaves,
  author =       {David Rydh and Michael Shulman},
  title =        {Regularity and exactness for 2-sheaves},
  note =         {In preparation.  Some work in progress available at \url{http://www.ncatlab.org/michaelshulman/show/2-categorical+logic}}}

@Unpublished{shulman:2logic,
  author =       {Michael Shulman},
  title =        {The internal logic of a 2-topos},
  note =         {In preparation.  Work in progress available at\\ \url{http://www.ncatlab.org/michaelshulman/show/2-categorical+logic}},
  year =         {2010}}

@Unpublished{shulman:2cofc,
  author =       {Michael Shulman},
  title =        {2-categories of classes},
  note =         {In preparation},
  year =         {2010}}

@Article{cs:multicats,
  author = 	 {G.S.H. Cruttwell and Michael Shulman},
  title = 	 {A unified framework for generalized multicategories},
  journal = 	 {Theory Appl. Categ.},
  year = 	 2010,
  volume = 	 24,
  pages = 	 {580--655},
  note = 	 {arXiv:0907.2460}}

@Unpublished{shulman:vequip,
  author =       {Michael Shulman},
  title =        {Limits and completions in formal category theory},
  note =         {In preparation}
}

@Unpublished{shulman:cosmoi,
  author =       {Michael Shulman},
  title =        {Categories enriched in monoidal fibrations},
  note =         {In preparation}
}

@Unpublished{shulman:extrmultitalk,
  author = 	 {Michael Shulman},
  title = 	 {Extraordinary multicategories},
  note = 	 {Talk at CMS Summer Meeting; slides available at \url{http://www.math.ucsd.edu/~mshulman/papers/cms2010talk.pdf}},
  year = 	 2010}

@Unpublished{shulman:extrmultiblog,
  author = 	 {Michael Shulman},
  title = 	 {Extraordinary 2-multicategories},
  note = 	 {Blog post available at \url{http://golem.ph.utexas.edu/category/2010/03/extraordinary_2multicategories.html}},
  year = 	 2010}

@Article{shulman:psalg,
  author = 	 {Michael Shulman},
  title = 	 {Not every pseudoalgebra is equivalent to a strict one},
  journal = 	 {Adv. Math.},
  year = 	 2012,
  volume = 	 229,
  number = 	 3,
  pages = 	 {2024--2041},
  note = 	 {arXiv:1005.1520}}

@Misc{nlab:ptder,
  author = 	 {Michael Shulman and others},
  title = 	 {pointed derivator},
  note = 	 {\url{http://nlab.mathforge.org/nlab/show/pointed+derivator}}}

@Misc{shulman:pi1s1-blog,
  author = 	 {Michael Shulman},
  title = 	 {A formal proof that $\pi_1(S^1)=\mathbb{Z}$},
  howpublished = {\url{http://homotopytypetheory.org/2011/04/29/a-formal-proof-that-pi1s1-is-z/}},
  year = 	 2011}


@Misc{shulman:univsubtop,
  author = 	 {Michael Shulman},
  title = 	 {Modeling univalence in subtoposes},
  howpublished = {\url{http://homotopytypetheory.org/2011/12/06/modeling-univalence-in-subtoposes/}},
  month = 	 {Dec},
  year = 	 2011}

@article{ls:hits,
  author = 	 {Peter LeFanu Lumsdaine and Michael Shulman},
  title = 	 {Semantics of higher inductive types},
  note = 	 {arXiv:1705.07088},
  year = 	 2020,
  DOI={10.1017/S030500411900015X},
  pages =        {159--208},
	journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  volume =       {169},
  issue =        {1},
	publisher={Cambridge University Press}}

@Article{shulman:elreedy,
  author = 	 {Michael Shulman},
  title = 	 {The univalence axiom for elegant {Reedy} presheaves},
  journal = 	 {Homology, Homotopy, and Applications},
  year = 	 2015,
  volume = 	 17,
  number = 	 2,
  pages = 	 {81--106},
  note = 	 {arXiv:1307.6248}}

@Article{shulman:exsite,
  author = 	 {Michael Shulman},
  title = 	 {Exact completions and small sheaves},
  journal = 	 {Theory and Applications of Categories},
  year = 	 2012,
  volume = 	 27,
  number = 	 7,
  note = 	 {arXiv:1203.4318},
  pages = 	 {97--173}}

@Unpublished{shulman:smbicat,
  author = 	 {Michael Shulman},
  title = 	 {Constructing symmetric monoidal bicategories},
  year = 	 {2010},
  note = 	 {arXiv:1004.0993}}

@Article{gs:freecocomp,
  author = 	 {Richard Garner and Michael Shulman},
  title = 	 {Enriched categories as a free cocompletion},
  journal = 	 {Adv. Math},
  volume = 	 {289},
  note = 	 {arXiv:1301.3191},
  year = 	 2016,
  pages = 	 {1--94}}

@article {blass:no-ultrafilters,
    AUTHOR = {Blass, Andreas},
     TITLE = {A model without ultrafilters},
   JOURNAL = {Bull. Acad. Polon. Sci. S\'er. Sci. Math. Astronom. Phys.},
  FJOURNAL = {Bulletin de l'Acad\'emie Polonaise des Sciences. S\'erie des
              Sciences Math\'ematiques, Astronomiques et Physiques},
    VOLUME = {25},
      YEAR = {1977},
    NUMBER = {4},
     PAGES = {329--331},
      ISSN = {0001-4117},
   MRCLASS = {02K05},
  MRNUMBER = {0476510 (57 \#16070)},
MRREVIEWER = {James H. Schmerl},
}

@incollection {hofmann:ssdts,
    AUTHOR = {Hofmann, Martin},
     TITLE = {Syntax and semantics of dependent types},
 BOOKTITLE = {Semantics and logics of computation ({C}ambridge, 1995)},
    SERIES = {Publ. Newton Inst.},
    VOLUME = {14},
     PAGES = {79--130},
 PUBLISHER = {Cambridge Univ. Press},
   ADDRESS = {Cambridge},
      YEAR = {1997},
   MRCLASS = {03B70 (68N15 68Q55)},
  MRNUMBER = {1629519},
       DOI = {10.1017/CBO9780511526619.004},
       URL = {http://dx.doi.org/10.1017/CBO9780511526619.004},
}

@Article{gk:univlcc,
  author = 	 {David Gepner and Joachim Kock},
  journal = 	 {Forum Math.},
  volume = 	 {29},
  number = 	 {3},
  pages = 	 {617--652},
  title = 	 {Univalence in locally cartesian closed $\infty$-categories},
  note = 	 {arXiv:1208.1749},
  year = 	 2017}

@article{lw:localuniv,
 author = {Lumsdaine, Peter LeFanu and Warren, Michael A.},
 title = {The Local Universes Model: An Overlooked Coherence Construction for Dependent Type Theories},
 journal = {ACM Trans. Comput. Logic},
 issue_date = {July 2015},
 volume = {16},
 number = {3},
 month = jul,
 year = {2015},
 issn = {1529-3785},
 pages = {23:1--23:31},
 articleno = {23},
 numpages = {31},
 acmid = {2754931},
 publisher = {ACM},
  note = 	 {arXiv:1411.1736},
}

@article{hp:catsem,
    author = {Hyland, J. M. E. and Pitts, Andrew M.},
    booktitle = {Categories in Computer Science and Logic},
    citeulike-article-id = {765096},
    journal = {Contemporary Mathematics},
    keywords = {category-theory, topos-theory},
    pages = {137--199},
    posted-at = {2006-07-19 21:07:58},
    priority = {3},
    title = {The theory of constructions: Categorical semantics and topos-theoretic models.},
    volume = {92},
    year = {1989}
}

@Article{duskin:bicatnerve,
  author = 	 {John W. Duskin},
  title = 	 {Simplicial matrices and the nerves of weak $n$-categories {I}: nerves of bicategories},
  journal = 	 {Theory and Applications of Categories},
  year = 	 2001,
  volume = 	 9,
  number = 	 10,
  pages = 	 {198-308}}

@Article{street:orientals,
  author = 	 {Ross Street},
  title = 	 {The algebra of oriented simplexes},
  journal = 	 {J. Pure Appl. Algebra},
  year = 	 1987,
  volume = 	 49,
  pages = 	 {283-335}}

@MISC{aczel:rpmod,
    author = {Peter Aczel},
    title = {The Russell-Prawitz Modality},
    year = {1999}
}

@MISC{fm:proplaxlogic,
    author = {Matt Fairtlough and Michael Mendler},
    title = {Propositional Lax Logic},
    year = {1997}
}

@Unpublished{ags:it-hott,
  author = 	 {Steve Awodey and Nicola Gambino and Kristina Sojakova},
  title = 	 {Homotopy-initial algebras in type theory},
  note = 	 {Extended abstract in LICS'12; arXiv:1504.05531},
  year = 	 {2015}}

@book {brown:cog,
    AUTHOR = {Brown, Kenneth S.},
     TITLE = {Cohomology of groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {87},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1982},
     PAGES = {x+306},
      ISBN = {0-387-90688-6},
   MRCLASS = {20-02 (18-01 20F32 20J05 55-01)},
  MRNUMBER = {672956 (83k:20002)},
MRREVIEWER = {Ross Staffeldt},
}

@Article{bunge:bddcplt,
  author = 	 {Marta Bunge},
  title = 	 {Tightly bounded completions},
  journal = 	 {Theory Appl. Categ.},
  year = 	 2013,
  volume = 	 28,
  number = 	 8,
  pages = 	 {213--240}}

@article{bw:ends,
title = "The calculus of ends over a base topos",
journal = "Journal of Pure and Applied Algebra",
volume = "56",
number = "3",
pages = "211 - 220",
year = "1989",
note = "",
issn = "0022-4049",
doi = "10.1016/0022-4049(89)90057-1",
url = "http://www.sciencedirect.com/science/article/pii/0022404989900571",
author = "R. Betti and R.F.C. Walters"
}

@Article{br:descent,
  author = 	 {Jean B\'enabou and Jacques Robaud},
  title = 	 {Monades et descente},
  journal = 	 {C. R. Acad. Sc. Paris, Serie A},
  year = 	 1970,
  pages = 	 {96--98},
  month = 	 {January}}

@article{dt:exppppc,
title = "Exponentiable morphisms, partial products and pullback complements",
journal = "Journal of Pure and Applied Algebra",
volume = "49",
number = "1–2",
pages = "103 - 116",
year = "1987",
note = "",
issn = "0022-4049",
doi = "10.1016/0022-4049(87)90124-1",
url = "http://www.sciencedirect.com/science/article/pii/0022404987901241",
author = "Roy Dyckhoff and Walter Tholen"
}

@Article{kl:essloc,
  author = 	 {G. M. Kelly and F. W. Lawvere},
  title = 	 {On the complete lattice of essential localizations},
  journal = 	 {Bulletin de la Soci\'et\'e Math\'ematique de Belgique, S\'erie A},
  year = 	 1989,
  volume = 	 41,
  pages = 	 {289--319}}

@Unpublished{lawvere:tdcsutdb,
  author = 	 {William Lawvere},
  title = 	 {Teoria delle categorie sopra un topos di base},
  note = 	 {Mimeographed notes, Perugia},
  year = 	 {1972/1973}}

@Article{leinster:eccat,
  author = 	 {Tom Leinster},
  title = 	 {The {E}uler characteristic of a category},
  journal = 	 {Documenta Mathematica},
  year = 	 2008,
  volume = 	 13,
  pages = 	 {21-49}}

@Article{lauda:faaa,
  author = 	 {Aaron Lauda},
  title = 	 {Frobenius algebras and ambidextrous adjunctions},
  journal = 	 {Theory and Applications of Categories},
  year = 	 2006,
  volume = 	 16,
  number = 	 4,
  pages = 	 {84--122}}

@Unpublished{bsp:infncats,
  author = 	 {Clark Barwick and Christopher Schommer-Pries},
  title = 	 {On the Unicity of the Homotopy Theory of Higher Categories},
  note = 	 {arXiv:1112.0040}}

@article {hw:crmtt,
    AUTHOR = {Hofstra, Pieter and Warren, Michael A.},
     TITLE = {Combinatorial realizability models of type theory},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {164},
  eprint = 	 {arXiv:1205.5527},
      YEAR = {2013},
    NUMBER = {10},
     PAGES = {957--988},
     CODEN = {APALD7},
   MRCLASS = {03B15 (03G30 18D30)},
  MRNUMBER = {3069019}
}
%      ISSN = {0168-0072},
%       DOI = {10.1016/j.apal.2013.05.002},
%       URL = {http://dx.doi.org/10.1016/j.apal.2013.05.002},

@INPROCEEDINGS{wadler:free-theorems,
    author = {Philip Wadler},
    title = {Theorems for free!},
    booktitle = {Functional Programming Languages and Computer Architecture},
    year = {1989},
    pages = {347--359},
    publisher = {ACM Press}
}

@article{klv:ssetmodel,
    author = {Kapulkin, Chris and Lumsdaine, Peter LeFanu},
    title = {The simplicial model of univalent foundations (after {V}oevodsky)},
    shorthand = {KL(V)19},
    year = {2019},
    journal = {Journal of the European Mathematical Society},
    note = {To appear.  arXiv:1211.2851},
    eprint = {1211.2851},
}

@inproceedings{lh:canonicity,
 author = {Licata, Daniel R. and Harper, Robert},
 title = {Canonicity for 2-dimensional type theory},
 booktitle = {Proceedings of the 39th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages},
 series = {POPL '12},
 year = {2012},
 location = {Philadelphia, PA, USA},
 pages = {337--348},
 numpages = {12},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {category theory, dependent types, homotopy type theory, type theory},
}
% isbn = {978-1-4503-1083-3},
% url = {http://doi.acm.org/10.1145/2103656.2103697},
% doi = {10.1145/2103656.2103697},
% acmid = {2103697},

@inproceedings{huet:hou30yrs,
 author = {Huet, G{\'e}rard P.},
 title = {Higher Order Unification 30 Years Later},
 booktitle = {Proceedings of the 15th International Conference on Theorem Proving in Higher Order Logics},
 series = {TPHOLs '02},
 year = {2002},
 isbn = {3-540-44039-9},
 pages = {3--12},
 numpages = {10},
 url = {http://dl.acm.org/citation.cfm?id=646529.695200},
 acmid = {695200},
 publisher = {Springer-Verlag},
 address = {London, UK, UK},
} 

@Article{johnson:modreedy,
  author = 	 {Mark W. Johnson},
  title = 	 {On modified {R}eedy and modified projective model structures},
  journal = 	 {Theory Appl. Categ.},
  year = 	 2010,
  volume = 	 24,
  number = 	 8,
  pages = 	 {179--208}}

@inproceedings{ls:pi1s1,
  author = 	 {Daniel R. Licata and Michael Shulman},
  title = 	 {Calculating the Fundamental Group of the Circle in Homotopy Type Theory},
  booktitle = 	 {Logic In Computer Science},
  year = 	 {2013},
  eprint = 	 {arXiv:1301.3443}}

@article{blass:freealg,
author = {Blass, Andreas},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {117-160},
publisher = {Institute of Mathematics Polish Academy of Sciences},
title = {Words, free algebras, and coequalizers},
url = {http://eudml.org/doc/211359},
volume = {117},
year = {1983},
}

@ARTICLE{stubbe:quantaloid-enr,
    author = {Isar Stubbe},
    title = {Categorical structures enriched in a quantaloid: categories, distributors and functors},
    journal = {Theory Appl. Categ},
    year = {2003},
    volume = {14},
    pages = {1--45}
}

@INPROCEEDINGS{ms:sconing,
    author = {John C. Mitchell and Andre Scedrov},
    title = {Notes on Sconing and Relators},
    booktitle = {},
    year = {1993},
    pages = {352--378},
    publisher = {Springer}
}

@incollection{ag:colldtt,
	Author = {Aczel, Peter and Gambino, Nicola},
	Booktitle = {Types for proofs and programs},
	Pages = {1--23},
	Publisher = {Springer},
	Title = {Collection principles in dependent type theory},
	Year = {2002}}

@Unpublished{bourke:2dmonadicity,
  author = 	 {John Bourke},
  title = 	 {Two dimensional monadicity},
  note = 	 {arXiv:1212.5123},
  year = 	 {2012}}

@article{jj:ccat-exptop,
  title={Continuous categories and exponentiable toposes},
  author={Johnstone, Peter and Joyal, Andr{\'e}},
  journal={Journal of Pure and Applied Algebra},
  volume={25},
  number={3},
  pages={255--296},
  year={1982},
  publisher={North-Holland}
}

@article {rezk:cor-cpncats,
    AUTHOR = {Rezk, Charles},
     TITLE = {Correction to ``{A} {C}artesian presentation of weak
              {$n$}-categories'' [MR2578310]},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry \& Topology},
    VOLUME = {14},
      YEAR = {2010},
    NUMBER = {4},
     PAGES = {2301--2304},
      ISSN = {1465-3060},
   MRCLASS = {18D05 (55U40)},
  MRNUMBER = {2740648 (2011j:18008)},
       DOI = {10.2140/gt.2010.14.2301},
       URL = {http://dx.doi.org/10.2140/gt.2010.14.2301},
}
		
@article {rezk:cpncats,
    AUTHOR = {Rezk, Charles},
     TITLE = {A {C}artesian presentation of weak {$n$}-categories},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry \& Topology},
    VOLUME = {14},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {521--571},
      ISSN = {1465-3060},
   MRCLASS = {18D05 (55U40)},
  MRNUMBER = {2578310 (2010m:18005)},
       DOI = {10.2140/gt.2010.14.521},
       URL = {http://dx.doi.org/10.2140/gt.2010.14.521},
}
		
@Book{hottbook,
  author = 	 {{Univalent Foundations Program}},
  title = 	 {Homotopy Type Theory: Univalent Foundations of Mathematics},
  shortauthor =  {UFP},
  publisher = 	 {\url{http://homotopytypetheory.org/book/}},
  edition = 	 {first},
  year = 	 2013}

@InProceedings{ss:qgftchtt,
  author = 	 {Urs Schreiber and Michael Shulman},
  title = 	 {Quantum gauge field theory in cohesive homotopy type theory},
  booktitle = {QPL'12},
  year = 	 2012,
  note = 	 {\url{http://ncatlab.org/schreiber/files/QFTinCohesiveHoTT.pdf}}}

@book{bishop:fca,
  title={Foundations of constructive analysis},
  author={Bishop, Errett},
  series={McGraw-Hill series in higher mathematics},
  year={1967},
  publisher={McGraw-Hill}
}

@Book{bb:constr-analysis,
  author = 	 {Errett Bishop and Douglas Bridges},
  title = 	 {Constructive analysis},
  publisher = 	 {Springer--Verlag},
  year = 	 1985}

@Article{shulman:eicats,
  author = 	 {Michael Shulman},
  title = 	 {Enriched indexed categories},
  journal = 	 {Theory and Applications of Categories},
  year = 	 2013,
  volume = 	 28,
  number = 	 21,
  pages = 	 {616-695}}

@Article{gps:mv,
  author = 	 {Moritz Groth and Kate Ponto and Michael Shulman},
  title = 	 {Mayer-Vietoris sequences in stable derivators},
  journal = 	 {Homology, Homotopy and Applications},
  volume = 	 {16},
  number = 	 {1},
  year = 	 {2014},
  note = 	 {arXiv:1306.2072}}

@Article{gps:additivity,
  author = 	 {Moritz Groth and Kate Ponto and Michael Shulman},
  title = 	 {The additivity of traces in monoidal derivators},
  journal = 	 {Journal of K-Theory},
  volume = 	 {14},
  number = 	 {3},
	pages = 			 {422--494},
  year = 	 {2014},
  note = 	 {arXiv:1212.3277}}

@Article{pare:sclim,
  author = 	 {Robert Par\'e},
  title = 	 {Simply connected limits},
  journal = 	 {Canad. J. Math.},
  year = 	 1990,
  volume = 	 42,
  pages = 	 {731--746}}

@Unpublished{cisinski:elegant,
  author = 	 {Denis-Charles Cisinski},
  title = 	 {Univalent universes for elegant models of homotopy types},
  note = 	 {arXiv:1406.0058},
  year = 	 2014}

@article {awodey:natmodels,
    AUTHOR = {Awodey, Steve},
     TITLE = {Natural models of homotopy type theory},
   JOURNAL = {Math. Structures Comput. Sci.},
    VOLUME = {28},
      YEAR = {2018},
    NUMBER = {2},
     PAGES = {241--286},
      ISSN = {0960-1295},
       DOI = {10.1017/S0960129516000268},
       URL = {https://doi.org/10.1017/S0960129516000268},
  note = 	 {arXiv:1406.3219},
}

@Article{rv:reedy,
  author = 	 {Emily Riehl and Dominic Verity},
  title = 	 {The theory and practice of {Reedy} categories},
  journal = 	 {Theory and Applications of Categories},
  year = 	 2014,
  volume = 	 29,
  number = 	 9,
  pages = 	 {256--301},
  note = 	 {\url{http://www.tac.mta.ca/tac/volumes/29/9/29-09abs.html}}}

@Article{boolos:cut,
  author = 	 {George Boolos},
  title = 	 {Don't eliminate cut},
  journal = 	 {Journal of Philosophical Logic},
  year = 	 1984,
  volume = 	 13,
  number = 	 4,
  pages = 	 {373--378}}

@article {seely:lccc-tt,
    AUTHOR = {Seely, R. A. G.},
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@Unpublished{cg:iticons,
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@Unpublished{cheng:dl-lawvere,
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@Misc{sp:canonical,
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@Unpublished{bb:htapm,
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@Article{horel:model-intsscat,
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@Article{lf:emspaces,
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@Unpublished{barwick:reedy,
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@INPROCEEDINGS{gmm:pattern-matching,
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@Unpublished{shulman:reedy,
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@Unpublished{keca:anon,
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@Unpublished{stekelenburg:modestkan,
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@Article{ps:symtraces,
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@Unpublished{hp:groth-model,
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  annote =	{Keywords: Dependent type, intensional Martin-L{\"o}f type theory, Curry-Howard interpretation, constructive mathematics, Brouwerian continuity axioms, anonymous exi}
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author="Licata, Daniel R. and Brunerie, Guillaume",
editor="Gonthier, Georges and Norrish, Michael",
title={$\pi_n({S}^n)$ in Homotopy Type Theory},
bookTitle="Certified Programs and Proofs: Third International Conference, CPP 2013, Melbourne, VIC, Australia, December 11-13, 2013, Proceedings",
year="2013",
publisher="Springer International Publishing",
address="Cham",
pages="1--16",
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doi="10.1007/978-3-319-03545-1_1",
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@article{MSC:9679034,
author = {Awodey, Steve and Gambino, Nicola and Palmgren, Erik},
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pages = {1005--1009},
numpages = {5},
doi = {10.1017/S0960129514000474},
URL = {http://journals.cambridge.org/article_S0960129514000474},
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@article{tennant:unif-paradox,
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year = {2015},
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}

@Article{carroll:tortoise,
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@Article{french:refl-sr,
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@InCollection{adlo:pisigma,
author="Altenkirch, Thorsten and Danielsson, Nils Anders and L{\"o}h, Andres and Oury, Nicolas",
editor="Blume, Matthias and Kobayashi, Naoki and Vidal, Germ{\'a}n",
title="$\Pi$$\Sigma$: Dependent Types without the Sugar",
bookTitle="Functional and Logic Programming: 10th International Symposium, FLOPS 2010, Sendai, Japan, April 19-21, 2010. Proceedings",
year="2010",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="40--55",
isbn="978-3-642-12251-4",
doi="10.1007/978-3-642-12251-4_5",
url="https://doi.org/10.1007/978-3-642-12251-4_5"
}

@article{ripley:pfc,
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@InCollection{sep:pfthsem,
	author       =	{Schroeder-Heister, Peter},
	title        =	{Proof-Theoretic Semantics},
	booktitle    =	{The Stanford Encyclopedia of Philosophy},
	editor       =	{Edward N. Zalta},
	howpublished =	{\url{https://plato.stanford.edu/archives/win2016/entries/proof-theoretic-semantics/}},
	year         =	{2016},
	edition      =	{Winter 2016},
	publisher    =	{Metaphysics Research Lab, Stanford University}
}

@article{cerr:trans-truth,
author = {Cobreros, Pablo and \'{E}gr\'{e}, Paul and Ripley, David and van Rooij, Robert},
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journal = {Mind},
volume = {122},
number = {488},
pages = {841-866},
year = {2013},
doi = {10.1093/mind/fzt110},
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 title = {A System of Formal Logic Without an Analogue to the Curry W Operator},
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@InCollection{sep:paraconsistent-logic,
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	title        =	{Paraconsistent Logic},
	booktitle    =	{The Stanford Encyclopedia of Philosophy},
	editor       =	{Edward N. Zalta},
	howpublished =	{\url{https://plato.stanford.edu/archives/fall2017/entries/logic-paraconsistent/}},
	year         =	{2017},
	edition      =	{Fall 2017},
	publisher    =	{Metaphysics Research Lab, Stanford University}
}

@Book{cook:wiz,
  author = 	 {Rick Cook},
  title = 	 {Wizard's Bane},
  publisher = 	 {Baen},
  year = 	 1989}

@PhdThesis{fackler:topsetth,
  author = 	 {Andreas Fackler},
  title = 	 {Topological Set Theories and Hyperuniverses},
  school = 	 {Ludwig--Maximilians--Universit{\"a}t M{\"u}nchen},
  year = 	 2011}

@Article{kock:hypergraphs-properads,
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  pages = 	 {155--190}}

@Article{feferman:fdn-unlim-ct,
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  pages = 	 {6--15}}

@Article{forster:iterative,
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  pages = 	 {97--110}}

@article{boolos:iterative,
 ISSN = {0022362X},
 URL = {http://www.jstor.org/stable/2025204},
 author = {George Boolos},
 journal = {The Journal of Philosophy},
 number = {8},
 pages = {215-231},
 publisher = {Journal of Philosophy, Inc.},
 title = {The Iterative Conception of Set},
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 year = {1971}
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@Unpublished{low:univ-ct,
  author = 	 {Zhen Lin Low},
  title = 	 {Universes for category theory},
  note = 	 {arXiv:1304.5227},
  year = 	 2013}

@MISC {hamkins:MO:elemchain,
    TITLE = {Large categories vs. $\mathrm{U}$-categories: why is the loss of category-theoretic information inessential?},
    AUTHOR = {Joel David Hamkins},
  year = 	 {2017},
    HOWPUBLISHED = {MathOverflow},
    NOTE = {URL:https://mathoverflow.net/q/279696 (version: 2017-08-28)},
    EPRINT = {https://mathoverflow.net/q/279696},
    URL = {https://mathoverflow.net/q/279696}
}

@Misc{forster:nf-nocc,
  author = 	 {Thomas Forster},
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  month = 	 {October},
  year = 	 2007}

@Incollection{lawvere:diagonal-ccc,
author="Lawvere, F. William",
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year="1969",
publisher="Springer Berlin Heidelberg",
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pages="134--145",
  note = 	 {Reprinted in {\it Reprints in Theory and Applications of Categories}, No. 15 (2006), pp 1-13, \url{http://tac.mta.ca/tac/reprints/articles/15/tr15abs.html}},
}
                  
@article{bl:ec-div,
author = "Berger, Clemens and Leinster, Tom",
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pages = "41--51",
publisher = "International Press of Boston",
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year = "2008"
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@Article{ckl:mag-fdalg,
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@InCollection{sep:dialetheism,
	author       =	{Priest, Graham and Berto, Francesco},
	title        =	{Dialetheism},
	booktitle    =	{The Stanford Encyclopedia of Philosophy},
	editor       =	{Edward N. Zalta},
	howpublished =	{\url{https://plato.stanford.edu/archives/spr2017/entries/dialetheism/}},
	year         =	{2017},
	edition      =	{Spring 2017},
	publisher    =	{Metaphysics Research Lab, Stanford University}
}

@InCollection{sep:platonism-mathematics,
	author       =	{Linnebo, {{\O}ystein}},
	title        =	{Platonism in the Philosophy of Mathematics},
	booktitle    =	{The Stanford Encyclopedia of Philosophy},
	editor       =	{Edward N. Zalta},
	howpublished =	{\url{https://plato.stanford.edu/archives/sum2017/entries/platonism-mathematics/}},
	year         =	{2017},
	edition      =	{Summer 2017},
	publisher    =	{Metaphysics Research Lab, Stanford University}
}

@Incollection{gowers:math-phil,
author="Gowers, William Timothy",
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@inproceedings{kraus:proptrunc,
  address =       {Dagstuhl, Germany},
  author =        {Nicolai Kraus},
  booktitle =     {20th International Conference on Types for Proofs and
                   Programs (TYPES 2014)},
  editor =        {Hugo Herbelin and Pierre Letouzey and
                   Matthieu Sozeau},
  pages =         {111--145},
  publisher =     {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  series =        {Leibniz International Proceedings in Informatics
                   (LIPIcs)},
  title =         {The General Universal Property of the Propositional
                   Truncation},
  note = 	 {arXiv:1411.2682},
  volume =        {39},
  year =          {2015},
  annote =        {Keywords: coherence conditions, propositional
                   truncation, Reedy limits, universal property,
                   well-behaved constancy},
  doi =           {http://dx.doi.org/10.4230/LIPIcs.TYPES.2014.111},
  isbn =          {978-3-939897-88-0},
  issn =          {1868-8969},
  url =           {http://drops.dagstuhl.de/opus/volltexte/2015/5494},
  urn =           {urn:nbn:de:0030-drops-54944},
}

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@Book{gu:locpres,
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@Article{obradovic:cyclic,
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@inproceedings{staton:aelqpl,
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 year = {2015},
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 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {algebraic effects, monads., quantum computation},
}

@article{bcr:props,
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@Unpublished{ww:prop-lin,
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@Article{cf:corel-prop,
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@article {einstein:relativity,
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@Incollection{mellies:dialogue-frob,
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@Book{papadopoulos:metricspaces,
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@Article{meckes:mag-div,
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@Article{meckes:posdef,
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@article{lp:gu-lawenr,
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@Misc{pbb:cat-duality,
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@unpublished{bc:mag-cpteuc,
author={Barcel{\'o}, Juan Antonio and Anthony Carbery},
title={On the magnitudes of compact sets in {E}uclidean spaces},
year={2015},
note={arXiv:1507.02502.  {\it American Journal of Mathematics}, in press}}

@unpublished{gg:mag-domeuc,
author={Heiko Gimperlein and Magnus Goffeng},
title={On the magnitude function of domains in {E}uclidean space},
note={arXiv:1706.06839},
year={2017}}

@Unpublished{egger:lax-frob,
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@INPROCEEDINGS{mellies:catsem-ll,
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    title = {Categorical semantics of linear logic},
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@TechReport{pfenning:cut-elim-ll,
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@incollection{seely:ll-staraut,
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@article{johnstone:fields,
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@Book{mrr:constr-alg,
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@Article{wolter:coimp,
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@incollection{forsbergfinite,
author = {Fredrik Nordvall Forsberg and Anton Setzer},
editor = {Ulrich Berger and Hannes Diener and Peter Schuster and Monika Seisenberger},
doi = {doi:10.1515/9783110324921.259},
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    AUTHOR = {Tim Campion},
    HOWPUBLISHED = {MathOverflow},
  year =         {2017},
    NOTE = {\url{https://mathoverflow.net/q/277991} (version: 2017-08-09)},
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year = "2009"
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@Unpublished{shulman:lcm,
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  title = 	 {Linear logic for constructive mathematics},
  note = 	 {arXiv:1805.07518},
  year = 	 2018}

@PhdThesis{avery:thesis,
  author = 	 {Tom Avery},
  title = 	 {Structure and Semantics},
  school = 	 {University of Edinburgh},
  year = 	 2017,
  note = 	 {arXiv:1708.01050}}

@Unpublished{shulman:frobmvar,
  author = 	 {Michael Shulman},
  title = 	 {$\ast$-autonomous categories are {Frobenius} pseudomonoids},
  note = 	 {In preparation; blog announcement at \url{https://golem.ph.utexas.edu/category/2017/11/starautonomous_categories_are.html}},
  year = 	 2020}

@Article{fs:vankampen,
  author = 	 {Kuen-Bang Hou (Favonia) and Michael Shulman},
  title = 	 {The {Seifert}--van {Kampen} theorem in homotopy type theory},
  journal = 	 {Computer Science Logic},
  year = 	 2016}

@Misc{shulman:t2ttalk,
  author = 	 {Michael Shulman},
  title = 	 {Type 2-theories},
  howpublished = {Talk at Homotopy Type Theory Electronic Seminar},
  note = 	 {Video and slides available at \url{http://uwo.ca/math/faculty/kapulkin/seminars/hottest.html}},
  month = 	 {Apr},
  year = 	 2018}

@Misc{licata:fibdtttalk,
  author = 	 {Dan Licata},
  title = 	 {A Fibrational Framework for Substructural and Modal Dependent Type Theories},
  howpublished = {Talk at Homotopy Type Theory Electronic Seminar},
  note = 	 {Video and slides available at \url{http://uwo.ca/math/faculty/kapulkin/seminars/hottest.html}},
  month = 	 {March},
  year = 	 2019}

@Misc{lumsdaine:gendeftt-talk,
  author = 	 {Peter LeFanu Lumsdaine},
  title = 	 {A general definition of dependent type theories},
  howpublished = {Talk at Joint Mathematics Meetings, Homotopy Type Theory special session},
  month = 	 {Jan},
  year = 	 2018,
  note = 	 {Joint work with A. Bauer, P. Haselwarter, and T. Winterhalter}}

@Misc{brunerie:initiality-talk,
  author = 	 {Guillaume Brunerie},
  title = 	 {A proposal for the initiality conjecture},
  howpublished = {Talk at Carnegie Mellon University},
  month = 	 {Mar},
  year = 	 2018}

@Unpublished{ks:intlang-lex,
  author = 	 {Krzysztof Kapulkin and Karol Szumi\l{}o},
  title = 	 {Internal Language of Finitely Complete $(\infty,1)$-categories},
  note = 	 {arXiv:1709.09519},
  year = 	 2017}

@Misc{shulman:autophagy-blog,
  author = 	 {Michael Shulman},
  title = 	 {Homotopy Type Theory should eat itself (but so far, it’s too big to swallow)},
  howpublished = {\url{https://homotopytypetheory.org/2014/03/03/hott-should-eat-itself/}},
  month = 	 {March},
  year = 	 2014}

@InProceedings{ak:nbe-dtt,
  title={Normalisation by Evaluation for Dependent Types},
  author={Altenkirch, Thorsten and Kaposi, Ambrus},
  booktitle =	 {1st conference on Foundational Structures in Computation and Deduction (FSCD)},
  year =	 {2016},
}

@Misc{vezzosi:agda-flat,
  author = 	 {Andrea Vezzosi},
  title = 	 {Agda-flat proof assistant},
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@Misc{altenkirch:higher-syntax-talk,
  author = 	 {Thorsten Altenkirch},
  title = 	 {Towards higher models and syntax of type theory},
  howpublished = {Talk at Homotopy Type Theory Electronic Seminar},
  month = 	 {May},
  year = 	 2018,
  note = 	 {Video and slides available at \url{http://uwo.ca/math/faculty/kapulkin/seminars/hottest.html}.  Joint work with Paolo Capriotti, Ambrus Kaposi, and Nicolai Kraus}}

@Unpublished{ack:2ltt,
  author = 	 {Danil Annenkov and Paolo Capriotti and Nicolai Kraus},
  title = 	 {Two-Level Type Theory and Applications},
  note = 	 {arXiv:1705.03307},
  year = 	 2017}

@Misc{andromeda,
  author = 	 {Andrej Bauer and Ga{\"e}tan Gilbert and Philipp Haselwarter and Matija Pretnar and Chris Stone},
  title = 	 {Andromeda: your type theory {\'a} l{\`a} {Martin-L{\"o}f}},
  howpublished = {\url{http://www.andromeda-prover.org}}}

@Unpublished{abcfhl:cart-cube,
  author = 	 {Carlo Angiuli and Guillaume Brunerie and Thierry Coquand and Kuan-Bang Hou (Favonia) and Robert Harper and Daniel R. Licata},
  title = 	 {Cartesian cubical type theory},
  note = 	 {\url{https://github.com/dlicata335/cart-cube}},
  year = 	 2017}

@PhdThesis{capriotti:thesis,
  author = 	 {Paolo Capriotti},
  title = 	 {Models of type theory with strict equality},
  school = 	 {University of Nottingham},
  year = 	 2016,
  url = {http://eprints.nottingham.ac.uk/39382/},
  note = 	 {School of Computer Science}}

@article{lops:internal-universes,
Author = {Daniel R. Licata and Ian Orton and Andrew M. Pitts and Bas Spitters},
Title = {Internal Universes in Models of Homotopy Type Theory},
Year = {2018},
note = {arXiv:1801.07664},
journal = {Leibniz International Proceedings in Informatics (LIPIcs)},
volume = 108,
number = 22,
pages = {1--17},
Doi = {10.4230/LIPIcs.FSCD.2018.22},
}

@Misc{wellen:diffcohott-talk,
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  title = 	 {Differential cohesive type theory (Preliminary report)},
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  year = 	 2018}

@Unpublished{bdgns:param-hct-intro,
  author = 	 {Clark Barwick and Emanuele Dotto and Saul Glasman and Denis Nardin and Jay Shah},
  year = 	 {2016},
  title = 	 {Parametrized higher category theory and higher algebra: A general introduction},
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@Book{velleman:prove-it,
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  title = 	 {How to prove it: a structured approach},
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@Book{ck:quantum-book,
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  year = 	 2017}

@Article{mz:bifib-psh,
  author = 	 {Paul-Andr{\'e} Melli{\`e}s and Noam Zeilberger},
  title = 	 {A bifibrational reconstruction of {Lawvere's} presheaf hyperdoctrine},
  journal = 	 {Logic in Computer Science},
  year = 	 2018}

@Unpublished{bf:comp-fmwk-pln,
  author = 	 {John C. Baez and Brendan Fong},
  title = 	 {A Compositional Framework for Passive Linear Networks},
  note = 	 {arXiv:1504.05625},
  year = 	 2015}

@Article{be:cat-ctrl,
  author = 	 {John C. Baez and Jason Erbele},
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  volume = 	 30,
  number = 	 24,
  pages = 	 {836--881}}

@InProceedings{mamane:surreal-coq,
author="Mamane, Lionel Elie",
editor="Filli{\^a}tre, Jean-Christophe
and Paulin-Mohring, Christine
and Werner, Benjamin",
title="Surreal Numbers in Coq",
booktitle="Types for Proofs and Programs",
year="2006",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="170--185",
isbn="978-3-540-31429-5"
}

@inproceedings{chm:cubical-hits,
 author = {Coquand, Thierry and Huber, Simon and M\"{o}rtberg, Anders},
 title = {On Higher Inductive Types in Cubical Type Theory},
 booktitle = {Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science},
 series = {LICS '18},
 year = {2018},
 isbn = {978-1-4503-5583-4},
 location = {Oxford, United Kingdom},
 pages = {255--264},
 numpages = {10},
 url = {http://doi.acm.org/10.1145/3209108.3209197},
 doi = {10.1145/3209108.3209197},
 acmid = {3209197},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {Cubical Type Theory, Higher Inductive Types, Homotopy Type Theory, Univalent Foundations},
}

@Misc{nlab:sear,
  author = 	 {Michael Shulman and others},
  title = 	 {{SEAR}},
  howpublished = {\url{http://ncatlab.org/nlab/show/SEAR}},
  year = 	 2009}

@MastersThesis{blechschmidt:stack-sem,
  author = 	 {Ingo Blechschmidt},
  title = 	 {Topostheorie und algebraische Geometrie},
  school = 	 {Universit{\"a}t Augsberg},
  year = 	 2012}

@Unpublished{gu:grmaghom-algmorse,
  author = 	 {Yuzhou Gu},
  title = 	 {Graph magnitude homology via algebraic Morse theory},
  note = 	 {In preparation},
  year = 	 2018}

@phdthesis{norell:thesis,
  author  = {Ulf Norell},
  title	  = {Towards a practical programming language based on dependent type
	     theory},
  school  = {Department of Computer Science and Engineering, Chalmers University of Technology},
  year	  = 2007,
  month	  = {September},
  address = {SE-412 96 G\"{o}teborg, Sweden}
}

@inproceedings{Abel2008VerifyingAS,
  title={Verifying a Semantic βη-Conversion Test for Martin-L{\"o}f Type Theory (extended version)},
  author={Andreas Abel and Thierry Coquand and Peter Dybjer},
  year={2008}
}

@InCollection{reynolds:systemF,
	author = 			 {John Reynolds},
	title = 			 {Towards a theory of type structure},
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	year = 				 1974,
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@Article{ch:coc,
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@Article{afs:impred-hits,
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	title = 			 {Impredicative Encodings of (Higher) Inductive Types},
	journal = 		 {LICS},
	year = 				 2018,
	note = 		 {arXiv:1802.02820}}

@Unpublished{shulman:hit-impred-blog,
	author = 			 {Michael Shulman},
	title = 			 {Higher inductive types via impredicative polymorphism},
	note = 				 {\url{https://homotopytypetheory.org/2011/04/25/higher-inductive-types-via-impredicative-polymorphism/}},
	year = 		 2011}

@Unpublished{shulman:hit-impred-blog-3,
	author = 			 {Michael Shulman},
	title = 			 {Impredicative encodings, part 3},
	note = 				 {\url{https://homotopytypetheory.org/2018/11/26/impredicative-encodings-part-3/}},
	year = 		 2018}

@Unpublished{kl:hoinvdia,
	author = 			 {Chris Kapulkin, Peter LeFanu Lumsdaine},
	title = 			 {Homotopical inverse diagrams in categories with attributes},
	note = 				 {arXiv:1808.01816},
	year = 		 2018}

@Unpublished{lumsdaine:hit-model-strux,
	author = 			 {Peter {LeFanu} Lumsdaine},
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@Article{bmr:dgmodel,
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@Unpublished{bmw:arities,
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	year = 		 2011}

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note = {arXiv:1509.08154},
}

@unpublished{gkr:liftacc-modelstr,
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Title = {Lifting accessible model structures},
Year = {2018},
note = {arXiv:1802.09889},
}

@article {guitart:trijunctions,
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@PhdThesis{stenzel:thesis,
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	title = 			 {On univalence, Rezk completeness and presentable quasi-categories},
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	year = 				 2019}

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}

@incollection {bf:Gamma-spaces,
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MRREVIEWER = {D. W. Anderson},
}

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MRREVIEWER = {R. H. Street},
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       URL = {https://doi.org/10.1007/s10485-015-9419-6},
}

@unpublished{moser:injproj,
Author = {Lyne Moser},
Title = {Injective and Projective Model Structures on Enriched Diagram Categories},
Year = {2017},
note = {arXiv:1710.11388},
}

@Article{bg:bloc-1dmodel,
author="Balchin, Scott and Garner, Richard",
title="Bousfield Localisation and Colocalisation of One-Dimensional Model Structures",
journal="Applied Categorical Structures",
year="2018",
month="Aug",
day="10",
issn="1572-9095",
doi="10.1007/s10485-018-9537-z",
url="https://doi.org/10.1007/s10485-018-9537-z"
}

@article{scanculescu:sle-lbl,
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	year = 				 {2008},
	number = 			 {13},
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@article {ss:free-adj,
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@unpublished{ahh:chtt-iii,
Author = {Carlo Angiuli and Kuen-Bang Hou and Robert Harper},
Title = {Computational Higher Type Theory {III}: Univalent Universes and Exact Equality},
Year = {2017},
note = {arXiv:1712.01800},
}

@unpublished{ch:chtt-iv,
Author = {Evan Cavallo and Robert Harper},
Title = {Computational Higher Type Theory {IV}: Inductive Types},
Year = {2018},
note = {arXiv:1801.01568},
}

@article{ch:hits-cctt,
author = {Cavallo, Evan and Harper, Robert},
title = {Higher Inductive Types in Cubical Computational Type Theory},
year = {2019},
issue_date = {January 2019},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
volume = {3},
number = {POPL},
url = {https://doi.org/10.1145/3290314},
doi = {10.1145/3290314},
journal = {Proc. ACM Program. Lang.},
month = {jan},
articleno = {1},
numpages = {27},
keywords = {cubical type theory, homotopy type theory, higher inductive types}
}

@article{bch:univalence-cubical,
Author = {Marc Bezem and Thierry Coquand and Simon Huber},
journal = {J. Autom. Reasoning},
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note = {arXiv:1710.10941},
}

@unpublished{rezk:sharp-maps,
Author = {Charles Rezk},
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Year = {1998},
note = {arXiv:math/9811038},
}

@article{cisinski:kthy,
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@misc{bk:bn,
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note = {To appear in {\it Homology, Homotopy, and Applications}.  arXiv:1208.1777},
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@article{am:thomason-ncat,
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@article{abfj:lexloc,
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Year = {2022},
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note = {arXiv:2101.02791},
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author = "Charles Rezk",
}

@article {tv:hag-i,
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     TITLE = {Homotopical algebraic geometry. {I}. {T}opos theory},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {193},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {257--372},
      ISSN = {0001-8708},
   MRCLASS = {14F20 (18F20 18G55 55U40)},
  MRNUMBER = {2137288},
MRREVIEWER = {Paul Arne \O stv\ae r},
       DOI = {10.1016/j.aim.2004.05.004},
       URL = {https://doi.org/10.1016/j.aim.2004.05.004},
}

@article {gs:uniform,
    AUTHOR = {Gambino, Nicola and Sattler, Christian},
     TITLE = {The {Frobenius} condition, right properness, and uniform fibrations},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {221},
      YEAR = {2017},
    NUMBER = {12},
     PAGES = {3027--3068},
      ISSN = {0022-4049},
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  MRNUMBER = {3666736},
MRREVIEWER = {Philippe Gaucher},
       DOI = {10.1016/j.jpaa.2017.02.013},
       URL = {https://doi.org/10.1016/j.jpaa.2017.02.013},
}

@PhdThesis{larrea:thesis,
	author = 			 {Marco F. Larrea},
	title = 			 {Strict Models of Homotopy Type Theory via Algebraic Weak Factorisation Systems (?)},
	school = 			 {University of Leeds},
	year = 				 {2019?}}

@article {szumilo:hoth-ccplquasi,
    AUTHOR = {Szumi\l o, Karol},
     TITLE = {Homotopy theory of cocomplete quasicategories},
   JOURNAL = {Algebr. Geom. Topol.},
  FJOURNAL = {Algebraic \& Geometric Topology},
    VOLUME = {17},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {765--791},
      ISSN = {1472-2747},
   MRCLASS = {55U35 (18G55)},
  MRNUMBER = {3623671},
MRREVIEWER = {Mark W. Johnson},
       DOI = {10.2140/agt.2017.17.765},
       URL = {https://doi.org/10.2140/agt.2017.17.765},
}

@Unpublished{lsr:depdep,
  author = 	 {Daniel R. Licata and Michael Shulman and Mitchell Riley},
  title = 	 {A Fibrational Framework for Substructural and Modal Dependent Type Theories},
  note = 	 {In preparation},
  year = 	 2019}

@Article{bordg:injective,
author="Bordg, Anthony",
title="On a Model Invariance Problem in Homotopy Type Theory",
journal="Applied Categorical Structures",
year="2019",
month="Feb",
day="01",
issn="1572-9095",
doi="10.1007/s10485-019-09558-w",
}

@article {vk:yoneda-css,
    AUTHOR = {Varshavski\u{\i}, Ya. and Kazhdan, D.},
     TITLE = {The {Yoneda} lemma for complete {Segal} spaces},
   JOURNAL = {Funktsional. Anal. i Prilozhen.},
  FJOURNAL = {Rossi\u{\i}skaya Akademiya Nauk. Funktsional\cprime ny\u{\i} Analiz i ego
              Prilozheniya},
    VOLUME = {48},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {3--38},
      ISSN = {0374-1990},
   MRCLASS = {18G30 (18G55)},
  MRNUMBER = {3288174},
MRREVIEWER = {Svetoslav Zahariev},
       DOI = {10.1007/s10688-014-0050-3},
       URL = {https://doi.org/10.1007/s10688-014-0050-3},
}

@unpublished{rasekh:yoneda-ss,
Author = {Nima Rasekh},
Title = {Yoneda Lemma for Simplicial Spaces},
Year = {2017},
note = {arXiv:1711.03160},
}

@Unpublished{harpaz:laxlim-model,
	author = 			 {Yonatan Harpaz},
	title = 			 {Lax limits of model categories},
	note = 				 {arXiv:1902.040867},
	year = 		 2019}

@unpublished{balzin:reedy-fam,
Author = {Edouard Balzin},
Title = {Reedy Model Structures in Families},
Year = {2018},
note = {arXiv:1803.00681},
}

@article {mr:cellular,
    AUTHOR = {Makkai, M. and Rosick\'{y}, J.},
     TITLE = {Cellular categories},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {218},
      YEAR = {2014},
    NUMBER = {9},
     PAGES = {1652--1664},
      ISSN = {0022-4049},
   MRCLASS = {18C35 (18D05)},
  MRNUMBER = {3188863},
MRREVIEWER = {Philippe Gaucher},
       DOI = {10.1016/j.jpaa.2014.01.005},
       URL = {https://doi.org/10.1016/j.jpaa.2014.01.005},
}

@Unpublished{rv:elements,
	author = 	 {Emily Riehl and Dominic Verity},
	title = 			 {Elements of $\infty$-category theory},
	year = 				 2019,
	note = 		 {In preparation; draft available at \url{http://www.math.jhu.edu/~eriehl/elements.pdf}}}

@Misc{shulman:eleminf-talk,
	author = 	 {Michael Shulman},
	title = 		 {Towards elementary $\infty$-toposes},
	howpublished = {Talk at the Vladimir Voevodsky Memorial Conference, \url{http://home.sandiego.edu/~shulman/papers/eleminf.pdf}},
	year = 		 2018}

@unpublished{rasekh:eleminf,
Author = {Nima Rasekh},
Title = {A Theory of Elementary Higher Toposes},
Year = {2018},
note = {arXiv:1805.03805},
}

@unpublished{rasekh:eleminf-nno,
Author = {Nima Rasekh},
Title = {Every Elementary Higher Topos has a Natural Number Object},
Year = {2018},
note = {arXiv:1809.01734},
}

@Unpublished{cm:unif-cartcube,
	author = 			 {Evan Cavallo and Anders M{\"o}rtberg},
	title = 			 {A unifying cartesian cubical type theory},
	note = 				 {\url{http://www.cs.cmu.edu/~ecavallo/works/unifying-cartesian.pdf}},
	year = 		 2019}

@unpublished{bourke:alginj,
Author = {John Bourke},
Title = {Iterated algebraic injectivity and the faithfulness conjecture},
Year = {2018},
note = {arXiv:1811.09532},
}

@Unpublished{cisinski:local-acyc,
	author = 			 {Denis-Charles Cisinski},
	title = 			 {Faisceaux localement asph{\'e}riques},
	note = 				 {Preliminary version; \url{http://www.mathematik.uni-regensburg.de/cisinski/mtest2.pdf}},
	year = 		 2003}

@article {piacenza:hodia,
    AUTHOR = {Piacenza, Robert J.},
     TITLE = {Homotopy theory of diagrams and {CW}-complexes over a
              category},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'{e}matiques},
    VOLUME = {43},
      YEAR = {1991},
    NUMBER = {4},
     PAGES = {814--824},
      ISSN = {0008-414X},
   MRCLASS = {55U35 (18G99)},
  MRNUMBER = {1127031},
MRREVIEWER = {John F. Oprea},
       DOI = {10.4153/CJM-1991-046-3},
       URL = {https://doi.org/10.4153/CJM-1991-046-3},
}

@Unpublished{shulman:univinj,
	author = 			 {Michael Shulman},
	title = 			 {All $(\infty,1)$-toposes have strict univalent universes},
	note = 				 {arXiv:1904.07004},
	year = 		 2019}

@article {kr:transfinite,
    AUTHOR = {Koubek, V\'{a}clav and Reiterman, Jan},
     TITLE = {Categorical constructions of free algebras, colimits, and
              completions of partial algebras},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {14},
      YEAR = {1979},
    NUMBER = {2},
     PAGES = {195--231},
      ISSN = {0022-4049},
   MRCLASS = {18A35 (18C99)},
  MRNUMBER = {524187},
MRREVIEWER = {Thomas F. Fox},
       DOI = {10.1016/0022-4049(79)90007-0},
       URL = {https://doi.org/10.1016/0022-4049(79)90007-0},
}

@unpublished{bourke:alg-we,
Author = {John Bourke},
Title = {Equipping weak equivalences with algebraic structure},
Year = {2017},
note = {arXiv:1712.02523},
}

@article{nikolaus:algfib,
title = "Algebraic models for higher categories",
journal = "Indagationes Mathematicae",
volume = "21",
number = "1",
pages = "52 - 75",
year = "2011",
issn = "0019-3577",
doi = "https://doi.org/10.1016/j.indag.2010.12.004",
url = "http://www.sciencedirect.com/science/article/pii/S0019357710000133",
author = "Thomas Nikolaus",
	note = 				 {arXiv:1003.1342},
}

@unpublished{sattler:eqvext,
Author = {Christian Sattler},
Title = {The Equivalence Extension Property and Model Structures},
Year = {2017},
note = {arXiv:1704.06911},
}

@unpublished{rathjen:pfthy-ua,
Author = {Michael Rathjen},
Title = {Proof Theory of Constructive Systems: Inductive Types and Univalence},
Year = {2016},
note = {arXiv:1610.02191},
}

@article {br:aec-acc,
    AUTHOR = {Beke, T. and Rosick\'{y}, J.},
     TITLE = {Abstract elementary classes and accessible categories},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {163},
      YEAR = {2012},
    NUMBER = {12},
     PAGES = {2008--2017},
      ISSN = {0168-0072},
   MRCLASS = {03C48 (18C35)},
  MRNUMBER = {2964883},
MRREVIEWER = {John Goodrick},
       DOI = {10.1016/j.apal.2012.06.003},
       URL = {https://doi.org/10.1016/j.apal.2012.06.003},
}

@unpublished{cors:loc-hott,
Author = {J. Daniel Christensen and Morgan Opie and Egbert Rijke and Luis Scoccola},
Title = {Localization in Homotopy Type Theory},
Year = {2018},
note = {arXiv:1807.04155},
}

@unpublished{bf:cellcoh-hott,
Author = {Ulrik Buchholtz and Kuen-Bang Hou (Favonia)},
Title = {Cellular Cohomology in Homotopy Type Theory},
Year = {2018},
note = {arXiv:1802.02191},
}

@unpublished{scoccola:nilpfrac-hott,
Author = {Luis Scoccola},
Title = {Nilpotent Types and Fracture Squares in Homotopy Type Theory},
Year = {2019},
note = {arXiv:1903.03245},
}

@phdthesis{floris:thesis,
Author = {Floris van Doorn},
Title = {On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory},
	school = 			 {Carnegie Mellon University},
Year = {2018},
note = {arXiv:1808.10690},
}

@article{abfj:goodwillie-htt,
Author = {Mathieu Anel and Georg Biedermann and Eric Finster and Andr{\'e} Joyal},
Title = {Goodwillie's Calculus of Functors and Higher Topos Theory},
Year = {2018},
	journal = 		 {Journal of Topology},
volume = 			 {11},
note = {arXiv:1703.09632},
pages = {1100--1132},
Doi = {10.1112/topo.12082},
}

@MastersThesis{cavallo:cohom-hott,
	author = 			 {Evan Cavallo},
	title = 			 {Synthetic cohomology in homotopy type theory},
	school = 			 {Carnegie Mellon University},
	year = 				 2015,
	note = 		 {\url{http://www.cs.cmu.edu/~ecavallo/works/thesis15.pdf}}}

@Unpublished{jardine:fields-spre,
	author = 			 {J.F. Jardine},
	title = 			 {Fields lectures: simplicial presheaves},
	note = 				 {\url{https://www.uwo.ca/math/faculty/jardine/courses/fields/fields-01.pdf}},
	year = 		 2007}

@Article{hoyois:topoi-param,
	author = 			 {Marc Hoyois},
	title = 			 {Topoi of parametrized objects},
	journal = 		 {Theory Appl. Categ.},
	year = 				 2019,
	volume = 	 34,
	number = 	 9,
	pages = 		 {243--248}}

@article {jardine:bool-loc,
    AUTHOR = {Jardine, J. F.},
     TITLE = {Boolean localization, in practice},
   JOURNAL = {Doc. Math.},
  FJOURNAL = {Documenta Mathematica},
    VOLUME = {1},
      YEAR = {1996},
     PAGES = {No. 13, 245--275},
      ISSN = {1431-0635},
   MRCLASS = {55U10 (18G55 55U35)},
  MRNUMBER = {1405671},
MRREVIEWER = {Paul G. Goerss},
}

@article {abghr:thom,
    AUTHOR = {Ando, Matthew and Blumberg, Andrew J. and Gepner, David and
              Hopkins, Michael J. and Rezk, Charles},
     TITLE = {Units of ring spectra, orientations and {T}hom spectra via
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  MRNUMBER = {3286898},
MRREVIEWER = {Steven R. Costenoble},
       DOI = {10.1112/jtopol/jtu009},
       URL = {https://doi.org/10.1112/jtopol/jtu009},
}

@Unpublished{abghr:thom-oocat,
	author = 			 {Ando, Matthew and Blumberg, Andrew J. and Gepner, David and
              Hopkins, Michael J. and Rezk, Charles},
	title = 			 {Units of ring spectra and Thom spectra},
	note = 				 {arXiv:0810.4535},
	year = 		 2008}

@article{lrv:intsize,
title = "Internal sizes in $\mu$-abstract elementary classes",
journal = "Journal of Pure and Applied Algebra",
year = "2019",
issn = "0022-4049",
doi = "https://doi.org/10.1016/j.jpaa.2019.02.004",
url = "http://www.sciencedirect.com/science/article/pii/S0022404919300386",
author = "Michael Lieberman and Jiří Rosický and Sebastien Vasey",
	note = 				 {arXiv:1708.06782},
}

@Unpublished{awodey:qmc-cube,
	author = 			 {Steve Awodey},
	title = 			 {A {Quillen} model structure on the category of cartesian cubical sets},
	note = 				 {In preparation},
	year = 		 2019}

@unpublished{lrv:setth-acc,
Author = {Michael Lieberman and Jiří Rosický and Sebastien Vasey},
Title = {Set-theoretic aspects of accessible categories},
Year = {2019},
note = {arXiv:1902.06777},
}

@unpublished{chs:hocan-cubical,
Author = {Thierry Coquand and Simon Huber and Christian Sattler},
Title = {Homotopy canonicity for cubical type theory},
Year = {2019},
note = {arXiv:1902.06572},
}

@unpublished{sterling:att-universes,
Author = {Jonathan Sterling},
Title = {Algebraic Type Theory and Universe Hierarchies},
Year = {2019},
note = {arXiv:1902.08848},
}

@unpublished{coquand:cannorm-dtt,
Author = {Thierry Coquand},
Title = {Canonicity and normalisation for Dependent Type Theory},
Year = {2018},
note = {arXiv:1810.09367},
}

@PhdThesis{menni:thesis,
	author = 			 {Menni, {Mat{\'{\i}}as}},
	title = 			 {Exact completions and toposes},
	school = 			 {University of Edinburgh},
	year = 				 2000}

@Article{menni:clop-ex,
	author = 			 {Menni, {Mat{\'{\i}}as}},
	title = 			 {Closure operators in exact completions},
	journal = 		 {Theory and Applications of Categories},
	year = 				 2001,
	number = 	 21,
	volume = 			 {8},
	pages = 		 {522--540}}

@Article{mr:unif-excplt,
author="Maietti, Maria Emilia and Rosolini, Giuseppe",
title="Unifying Exact Completions",
journal="Applied Categorical Structures",
year="2015",
month="Feb",
day="01",
volume="23",
number="1",
pages="43--52",
issn="1572-9095",
doi="10.1007/s10485-013-9360-5",
}

@Article{mr:qcplt-fdn-cstr,
  author =       {Maietti, M.E. and Rosolini, G.},
  title =        {Quotient Completion for the Foundation of Constructive Mathematics},
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  year =         2013,
  volume =    7,
  pages =     {371--402}}

@Article{mr:elem-quot-cplt,
	author = 			 {Maietti, Maria Emilia and Rosolini, Giuseppe},
	title = 			 {Elementary quotient completion},
	journal = 		 {Theory and Applications of Categories},
	year = 				 2013,
	volume = 	 27,
	number = 	 17,
	pages = 		 {445--463}}

@unpublished{mpr:eqc-ct-pass,
Author = {Maria Emilia Maietti and Fabio Pasquali and Giuseppe Rosolini},
Title = {Elementary Quotient Completions, {Church's} Thesis, and Partioned Assemblies},
Year = {2018},
note = {arXiv:1802.06400},
}

@article{pasquali:tripos-to-topos,
    AUTHOR = {Pasquali, Fabio},
     TITLE = {Remarks on the tripos to topos construction: comprehension,
              extensionality, quotients and functional-completeness},
   JOURNAL = {Appl. Categ. Structures},
  FJOURNAL = {Applied Categorical Structures. A Journal Devoted to
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              Order, Topology and Computer Science},
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    NUMBER = {2},
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      ISSN = {0927-2852},
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}

@Unpublished{lurie:sag,
	author = 			 {Jacob Lurie},
	title = 			 {Spectral algebraic geometry},
	note = 				 {\url{http://math.harvard.edu/~lurie/papers/SAG-rootfile.pdf}}}

@article{jfs:twqft,
    AUTHOR = {Johnson-Freyd, Theo and Scheimbauer, Claudia},
     TITLE = {({O}p)lax natural transformations, twisted quantum field
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   JOURNAL = {Adv. Math.},
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      YEAR = {2017},
     PAGES = {147--223},
      ISSN = {0001-8708},
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@unpublished{lomonaco:1inacc,
Author = {Giulio Lo Monaco},
Title = {Dependent products and 1-inaccessible universes},
Year = {2019},
note = {arXiv:1905.10220},
}

@article{hj:factsys-fib,
title = "Factorization systems and fibrations: Toward a fibred Birkhoff variety theorem",
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pages = "156 - 182",
year = "2003",
note = "CTCS'02, Category Theory and Computer Science",
issn = "1571-0661",
doi = "https://doi.org/10.1016/S1571-0661(04)80564-4",
author = "Jesse Hughes and Bart Jacobs",
}

@PhdThesis{nester:thesis,
	author = 			 {Chad Nester},
	title = 			 {Turing Categories and Realizability},
	school = 			 {University of Calgary},
	year = 				 2017}

@unpublished{vdb:pred-topos,
Author = {Benno van den Berg},
Title = {Predicative toposes},
Year = {2012},
note = {arXiv:1207.0959},
}

@unpublished{frey:char-realiz,
Author = {Jonas Frey},
Title = {Characterizing partitioned assemblies and realizability toposes},
Year = {2014},
note = {arXiv:1404.6997},
}

@article{gcst:sprop,
  TITLE = {Definitional Proof-Irrelevance without {K}},
  AUTHOR = {Gilbert, Ga{\"e}tan and Cockx, Jesper and Sozeau, Matthieu and Tabareau, Nicolas},
  URL = {https://hal.inria.fr/hal-01859964},
  JOURNAL = {Proceedings of the ACM on Programming Languages},
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  MONTH = Jan,
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  HAL_ID = {hal-01859964},
  HAL_VERSION = {v2},
}

@Unpublished{coquand:pshf-model,
	author = 			 {Thierry Coquand},
	title = 			 {Presheaf model of type theory},
	note = 				 {\url{http://www.cse.chalmers.se/~coquand/presheaf.pdf}},
	year = 		 2012}

@MastersThesis{beckert:stable,
	author = 			 {Falk Beckert},
	title = 			 {Dualities and adjunctions of stable derivators},
	school = 			 {Rheinischen Friedrich-Wilhelms-Universit{\"a}t Bonn},
	year = 				 2013,
	key = 			 {Diplomarbeit}}

@unpublished{swan:wred,
Author = {Andrew Swan},
Title = {W-Types with Reductions and the Small Object Argument},
Year = {2018},
note = {arXiv:1802.07588},
}

@article {gonthier:4color,
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     TITLE = {Formal proof---the four-color theorem},
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  FJOURNAL = {Notices of the American Mathematical Society},
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      ISSN = {0002-9920},
   MRCLASS = {05C15 (68T15)},
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}

@InProceedings{odd-order,
author="Gonthier, Georges
and Asperti, Andrea
and Avigad, Jeremy
and Bertot, Yves
and Cohen, Cyril
and Garillot, Fran{\c{c}}ois
and Le Roux, St{\'e}phane
and Mahboubi, Assia
and O'Connor, Russell
and Ould Biha, Sidi
and Pasca, Ioana
and Rideau, Laurence
and Solovyev, Alexey
and Tassi, Enrico
and Th{\'e}ry, Laurent",
editor="Blazy, Sandrine
and Paulin-Mohring, Christine
and Pichardie, David",
title="A Machine-Checked Proof of the Odd Order Theorem",
booktitle="Interactive Theorem Proving",
year="2013",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="163--179",
isbn="978-3-642-39634-2"
}

@Article{manin-interview,
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@Book{nps:prog-mltt,
	author = 	 {Bengt Nordstr{\"o}m and Kent Petersson and Jan M. Smith},
	title = 			 {Programming in {Martin-L{\"o}f's} type theory},
	publisher = 	 {Oxford University Press},
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@PhdThesis{vergura:thesis,
	author = 			 {Marco Vergura},
	title = 			 {Localization theory in an $(\infty,1)$-topos},
	school = 			 {University of Western Ontario},
	year = 				 2019}

@article {roberts:wisc,
    AUTHOR = {Roberts, David Michael},
     TITLE = {The weak choice principle {WISC} may fail in the category of
              sets},
   JOURNAL = {Studia Logica},
  FJOURNAL = {Studia Logica. An International Journal for Symbolic Logic},
    VOLUME = {103},
      YEAR = {2015},
    NUMBER = {5},
     PAGES = {1005--1017},
      ISSN = {0039-3215},
   MRCLASS = {03E25 (03E35 03G30 18B05)},
  MRNUMBER = {3386138},
MRREVIEWER = {Thomas Streicher},
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       URL = {https://doi.org/10.1007/s11225-015-9603-6},
}

@InProceedings{kk:hiits,
  author =	{Ambrus Kaposi and Andr{\'a}s Kov{\'a}cs},
  title =	{{A Syntax for Higher Inductive-Inductive Types}},
  booktitle =	{3rd International Conference on Formal Structures for  Computation and Deduction (FSCD 2018)},
  pages =	{20:1--20:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-077-4},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{108},
  editor =	{H{\'e}l{\`e}ne Kirchner},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9190},
  URN =		{urn:nbn:de:0030-drops-91906},
  doi =		{10.4230/LIPIcs.FSCD.2018.20},
  annote =	{Keywords: homotopy type theory, inductive-inductive types, higher inductive types, quotient inductive types, logical relations}
}

@InProceedings{uemura:cubical-asm,
  author =	{Taichi Uemura},
  title =	{Cubical Assemblies, a Univalent and Impredicative Universe and a Failure of Propositional Resizing},
  note =         {arXiv:1803.06649},
  booktitle =	{24th International Conference on Types for Proofs and Programs (TYPES 2018)},
  pages =	{7:1--7:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-106-1},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{130},
  editor =	{Peter Dybjer and Jos{\'e} Esp{\'\i}rito Santo and Lu{\'\i}s Pinto},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11411},
  URN =		{urn:nbn:de:0030-drops-114118},
  doi =		{10.4230/LIPIcs.TYPES.2018.7},
  annote =	{Keywords: Cubical type theory, Realizability, Impredicative universe, Univalence, Propositional resizing}
}

@unpublished{su:ct-cubasm,
Author = {Andrew Swan and Taichi Uemura},
Title = {On {Church's} Thesis in Cubical Assemblies},
Year = {2019},
note = {arXiv:1905.03014},
}

@PhdThesis{reitz:thesis,
	author = 			 {Jonas Reitz},
	note = 				 {arXiv:0609064},
	title = 			 {The ground axiom},
	school = 			 {The City University of New York},
	year = 				 2008}

@book {friedman:fscf,
    AUTHOR = {Friedman, Sy D.},
     TITLE = {Fine structure and class forcing},
    SERIES = {De Gruyter Series in Logic and its Applications},
    VOLUME = {3},
 PUBLISHER = {Walter de Gruyter \& Co., Berlin},
      YEAR = {2000},
     PAGES = {x+221},
      ISBN = {3-11-016777-8},
   MRCLASS = {03-02 (03E15 03E35 03E45 03E55)},
  MRNUMBER = {1780138},
MRREVIEWER = {A. Kanamori},
       DOI = {10.1515/9783110809114},
       URL = {https://doi.org/10.1515/9783110809114},
}

@Misc{roberts:classforcing,
	author = 	 {David Michael Roberts},
	title = 		 {Class forcing and topos theory},
	year = 		 2018,
	note = 		 {Notes from a talk at IHES},
	doi = 				 {10.4225/55/5b2252e3092af}}

@Misc{frey:mfpo-pca,
  author = 	 {Jonas Frey},
  title = 	 {Multiform preorders and partial combinatory algebras},
  howpublished = {\url{http://li2012.univ-mrs.fr/media/talk81/frey-talk.pdf}},
  month = 	 {February},
  year = 	 2012}

@Unpublished{zwanziger:natmod-comnd,
	author = 			 {Colin Zwanziger},
	title = 			 {Natural model semantics of comonadic modal type theory},
	note = 				 {In preparation},
	year = 		 2019}

@unpublished{ky:maghom-ordcplx,
Author = {Ryuki Kaneta and Masahiko Yoshinaga},
Title = {Magnitude homology of metric spaces and order complexes},
Year = {2018},
note = {arXiv:1803.04247},
}

@unpublished{jubin:maghom,
Author = {Beno{\^\i}t Jubin},
Title = {On the magnitude homology of metric spaces},
Year = {2018},
note = {arXiv:1803.05062},
}

@unpublished{gomi:magcplx,
Author = {Kiyonori Gomi},
Title = {Smoothness filtration of the magnitude complex},
Year = {2018},
note = {arXiv:1809.06593},
}

@unpublished{gomi:maghom-geodesic,
Author = {Kiyonori Gomi},
Title = {Magnitude homology of geodesic space},
Year = {2019},
note = {arXiv:1902.07044},
}

@unpublished{asao:maghom-geodesic,
Author = {Yasuhiko Asao},
Title = {Magnitude homology of geodesic metric spaces with an upper curvature bound},
Year = {2019},
note = {arXiv:1903.11794},
}

@unpublished{otter:mag-pers,
Author = {Nina Otter},
Title = {Magnitude meets persistence. Homology theories for filtered simplicial sets},
Year = {2018},
note = {arXiv:1807.01540},
}

@unpublished{hepworth:mag-cohom,
Author = {Richard Hepworth},
Title = {Magnitude cohomology},
Year = {2018},
note = {arXiv:1807.06832},
}

@inproceedings{bcp:nonconstr-kan,
  title={Non-Constructivity in Kan Simplicial Sets},
  author={Marc Bezem and Thierry Coquand and Erik Parmann},
  booktitle={13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)},
  year={2015}
}

@Unpublished{accrs:equivariant,
	author = 			 {Steve Awodey and Evan Cavallo and Thierry Coquand and Emily Riehl and Christian Sattler},
	title = 			 {Equivariant cartesian cubical sets},
	note = 				 {In preparation},
	year = 		 2021}

@unpublished{gh:constr-sset-uf,
Author = {Nicola Gambino and Simon Henry},
Title = {Towards a constructive simplicial model of Univalent Foundations},
Year = {2019},
note = {arXiv:1905.06281},
}

@unpublished{henry:constr-sset,
Author = {Simon Henry},
Title = {A constructive account of the {Kan}-{Quillen} model structure and of {Kan's} {Ex}$^{\infty}$ functor},
Year = {2019},
note = {arXiv:1905.06160},
}

@unpublished{gss:constr-sset,
Author = {Nicola Gambino and Christian Sattler and Karol Szumi{\l}o},
Title = {The constructive {Kan}-{Quillen} model structure: two new proofs},
Year = {2019},
note = {arXiv:1907.05394},
}

@PhdThesis{rijke:thesis,
	author = 			 {Egbert Rijke},
	title = 			 {Classifying Types},
	school = 			 {Carnegie Mellon University},
	year = 				 2018,
	note = 		 {arXiv:1906.09435}}

@article{bcmmps:dep-radj,
Author = {Lars Birkedal and Ranald Clouston and Bassel Mannaa and Rasmus Ejlers Møgelberg and Andrew M. Pitts and Bas Spitters},
Title = {Modal Dependent Type Theory and Dependent Right Adjoints},
Year = {2019},
note = {arXiv:1804.05236},
journal = {Mathematical Structures in Computer Science},
}

@article{pmd:nominal-tt,
title = "A Dependent Type Theory with Abstractable Names",
journal = "Electronic Notes in Theoretical Computer Science",
volume = "312",
pages = "19 - 50",
year = "2015",
note = "Ninth Workshop on Logical and Semantic Frameworks, with Applications",
issn = "1571-0661",
doi = "https://doi.org/10.1016/j.entcs.2015.04.003",
url = "http://www.sciencedirect.com/science/article/pii/S1571066115000079",
author = "Andrew M. Pitts and Justus Matthiesen and Jasper Derikx",
keywords = "binding, dependent types, names, nominal sets",
}

@article{bmss:guarded-domthy,
Author = {Lars Birkedal and Rasmus Ejlers Møgelberg and Jan Schwinghammer and Kristian Støvring},
Title = {First steps in synthetic guarded domain theory: step-indexing in the topos of trees},
Year = {2012},
Eprint = {arXiv:1208.3596},
journal = {Logical Methods in Computer Science},
volume = {8},
issue = {4},
Doi = {10.2168/LMCS-8(4:1)2012},
}

@misc{mm:clocked-tt,
  title={The Clocks They Are Adjunctions Denotational Semantics for Clocked Type Theory},
  author={Bassel Mannaa and Rasmus Ejlers M{\o}gelberg},
  year={2018},
  note={arXiv:1804.06687}
}

@InProceedings{ch:parametric-cubical,
  author =	{Evan Cavallo and Robert Harper},
  title =	{Internal Parametricity for Cubical Type Theory},
  booktitle =	{28th EACSL Annual Conference on Computer Science Logic (CSL 2020)},
  pages =	{13:1--13:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-132-0},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{152},
  editor =	{Maribel Fern{\'a}ndez and Anca Muscholl},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/11656},
  URN =		{urn:nbn:de:0030-drops-116564},
  doi =		{10.4230/LIPIcs.CSL.2020.13},
  annote =	{Keywords: parametricity, cubical type theory, higher inductive types},
  note = {arXiv:1901.00489},
}

@article{bcmr:no-vopenka,
author = {Bagaria, Joan, Casacuberta, Carles, Mathias, A. R. D., Rosick{\'y}, Ji{\v{r}}{\'{\i}}},
journal = {Journal of the European Mathematical Society},
language = {eng},
number = {3},
pages = {549-589},
publisher = {European Mathematical Society Publishing House},
title = {Definable orthogonality classes in accessible categories are small},
url = {http://eudml.org/doc/277196},
volume = {017},
year = {2015},
}

@inproceedings{sag:xtt,
  title={Cubical Syntax for Reflection-Free Extensional Equality},
  author={Sterling, Jonathan and Angiuli, Carlo and Gratzer, Daniel},
  booktitle={4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019)},
  year={2019},
  organization={Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik}
}

@InProceedings{fh:covsp,
	author = 			 {Kuen-Bang Hou (Favonia) and Robert Harper},
	title = 			 {Covering Spaces in Homotopy Type Theory},
	booktitle = {22nd International Conference on Types for Proofs and Programs (TYPES 2016)},
	year = 		 2016}

@inproceedings{afh:ccctt,
  author = {Carlo Angiuli and Kuen-Bang {Hou (Favonia)} and Robert Harper},
  shorthand = {AFH18},
  title = {Cartesian Cubical Computational Type Theory: Constructive Reasoning with Paths and Equalities},
  booktitle = {27th EACSL Annual Conference on Computer Science Logic (CSL 2018)},
  pages = {6:1--6:17},
  series = {Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN = {978-3-95977-088-0},
  ISSN = {1868-8969},
  year = 2018,
  volume = 119,
  editor = {Dan Ghica and Achim Jung},
  publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address = {Dagstuhl, Germany},
  URN = {urn:nbn:de:0030-drops-96734},
  doi = {10.4230/LIPIcs.CSL.2018.6},
}

@inproceedings{bf:cell-cohom,
 author = {Buchholtz, Ulrik and Hou Favonia, Kuen-Bang},
 title = {Cellular Cohomology in Homotopy Type Theory},
 booktitle = {Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science},
 series = {LICS '18},
 year = {2018},
 isbn = {978-1-4503-5583-4},
 location = {Oxford, United Kingdom},
 pages = {521--529},
 numpages = {9},
 url = {http://doi.acm.org/10.1145/3209108.3209188},
 doi = {10.1145/3209108.3209188},
 acmid = {3209188},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {cellular cohomology, homotopy type theory, mechanized reasoning},
} 

@InProceedings{fs:vkt,
  author =	{Kuen-Bang {Hou (Favonia)} and Michael Shulman},
  title =	{{The Seifert-van Kampen Theorem in Homotopy Type Theory}},
  booktitle =	{25th EACSL Annual Conference on Computer Science Logic (CSL 2016)},
  pages =	{22:1--22:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-022-4},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{62},
  editor =	{Jean-Marc Talbot and Laurent Regnier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6562},
  URN =		{urn:nbn:de:0030-drops-65626},
  doi =		{10.4230/LIPIcs.CSL.2016.22},
  annote =	{Keywords: homotopy type theory, fundamental group, homotopy pushout, mechanized reasoning}
}

@InProceedings{lb:cubical-sht,
	author = 			 {Dan Licata and Guillaume Brunerie},
	title = 			 {A Cubical Approach to Synthetic Homotopy Theory},
	booktitle = {LICS 2015},
	year = 		 2015}

@unpublished{bdr:higher-groups,
Author = {Ulrik Buchholtz and Floris van Doorn and Egbert Rijke},
Title = {Higher Groups in Homotopy Type Theory},
Year = {2018},
note = {arXiv:1802.04315},
}

@PhdThesis{forsberg:thesis,
	author = 			 {Fredrik Nordvall Forsberg},
	title = 			 {Inductive-inductive definitions},
	school = 			 {Swansea University},
	year = 				 2014}

@PhdThesis{girard:thesis,
	author = 			 {Jean-Yves Girard},
	title = 			 {Interpr\'{e}tation fonctionnelle et \'{e}limination des coupures de l'arithm\'{e}tique d'ordre sup\'{e}rieur},
	school = 			 {Paris 7},
	year = 				 1972}

@unpublished{uemura:gen-tt,
Author = {Taichi Uemura},
Title = {A General Framework for the Semantics of Type Theory},
Year = {2019},
note = {arXiv:1904.04097},
}

@article{vma:cubical-agda,
 author = {Vezzosi, Andrea and M\"{o}rtberg, Anders and Abel, Andreas},
 title = {Cubical {A}gda: A Dependently Typed Programming Language with Univalence and Higher Inductive Types},
 journal = {Proc. ACM Program. Lang.},
 volume = {3},
 number = {ICFP},
 month = jul,
 year = {2019},
 issn = {2475-1421},
 pages = {87:1--87:29},
 doi = {10.1145/3341691},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {Cubical Type Theory, Dependent Pattern Matching, Higher Inductive Types, Univalence}
}

@Misc{brunerie:initiality,
	author = 	 {Guillaume Brunerie},
	title = 		 {A formalization of the initiality conjecture in {A}gda},
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	year = 		 2019}

@Misc{bblm:initiality,
  author =    {Guillaume Brunerie and Menno de Boer and Peter LeFanu Lumsdaine and Anders M\"{o}rtberg},
  title =     {Initiality for {Martin-L{\"o}f} type theory},
  howpublished = {A formalization in Agda of the proof},
  URL = {https://github.com/guillaumebrunerie/initiality},
  year = {2020}}

@Misc{kkl:iit-indexed-types,
  author =    {Ambrus Kaposi and Andr{\'a}s Kov{\'a}cs and Ambroise Lafont},
  title =     {Closed Inductive-Inductive Types are Reducible to Indexed Inductive Types},
  howpublished = {Presentation at TYPES'19},
  year =      2019,

  }

@Misc{akkr:iit-erasure-types,
  author =    {Thorsten Altenkirch and Ambrus Kaposi and Andr{\'a}s Kov{\'a}cs and Jakob von Raumer},
  title =     {Constructing Inductive-Inductive Types via Type Erasure},
  howpublished = {Presentation at TYPES'19},
  year =      2019,

  }

@InProceedings{reddy:dirprolog,
author="Reddy, Uday S.",
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publisher="Springer Berlin Heidelberg",
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@Misc{redtt,
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  date =         {2019},
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@Misc{baez:act-course,
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@PhdThesis{aleiferi:thesis,
  author =       {Evangelia Aleiferi},
  title =        {Cartesian double categories with an emphasis on characterizing spans},
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  year =         2018}

@Misc{nlab:cart-bicat,
  author =    {Todd Trimble and others},
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  year =      2019}

@Article{lww:span-cartbicat,
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@unpublished{kissinger:mat-hycat,
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Year = {2014},
note = {arXiv:1406.5942},
}

@article{fs:hycats,
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url = "http://www.sciencedirect.com/science/article/pii/S0022404919300489",
author = "Brendan Fong and David I. Spivak",
keywords = "Hypergraph categories, Compact closed categories, Frobenius algebras, Cospan, Wiring diagram",
}

@Article{fong:decorated-cospans,
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@Article{rsw:gcsep-cspgr,
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@InProceedings{gh:ind-graphtrans,
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@InProceedings{morton:beliefprop,
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@INPROCEEDINGS{ong:sem-classical,
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@article{cpt:ll-session,
title={Linear logic propositions as session types},
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publisher={Cambridge University Press},
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year={2016},
pages={367–423}}

@article{go:coh-smbicat,
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keywords = "Symmetric monoidal bicategory, Coherence,  space",
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@unpublished{bartlett:qs-sm2cat,
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note = {arXiv:1409.2148},
}

@Article{skoda:quantum-heaps,
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@unpublished{mp:coh-indsmc,
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note = {arXiv:1811.12873},
}

@Article{schellinx:syntac-ll,
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author = "Dominic J.D. Hughes",
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@article{hs:glue-orth-ll,
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keywords = "Categorical models, Linear logic, Glueing, Orthogonality",
}

@Unpublished{reddy:acceptors,
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@TechReport{hasegawa:glueing-cll,
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@PhdThesis{lafont:thesis,
  author =       {Yves Lafont},
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