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@Book{streicher:semtt,
author = {Thomas Streicher},
title = {Semantics of type theory: correctness, completeness, and independence results},
publisher = {Birkh\"auser},
series = {Progress in Theoretical Computer Science},
year = 1991}
@TechReport{gimenez:recursion,
author = {Eduardo Gim\'enez},
title = {Codifying guarded definitions with recursive schemes},
institution = {Ecole Normale Sup\'erieure de Lyon},
year = 1994,
type = {Research Report},
number = {95-07},
month = {December}}
@Unpublished{bohmann:globalspectra,
author = {Anna Marie Bohmann},
title = {Global orthogonal spectra},
year = {2012},
note = {arXiv:1208.4997}}
@INCOLLECTION{scedrov:ist,
author = {{\v{S}}{\v{c}}edrov, Andrej},
title = {Intuitionistic set theory},
booktitle = {Harvey {F}riedman's research on the foundations of mathematics},
publisher = {North-Holland},
year = {1985},
volume = {117},
series = {Stud. Logic Found. Math.},
pages = {257--284},
address = {Amsterdam},
mrclass = {03F55 (03E70)},
mrnumber = {MR835261 (88e:03087)}
}
@ARTICLE{scedrov:forcing,
author = {{\v{S}}{\v{c}}edrov, Andrej},
title = {Forcing and classifying topoi},
journal = {Mem. Amer. Math. Soc.},
year = {1984},
volume = {48},
pages = {x+93},
number = {295},
coden = {MAMCAU},
fjournal = {Memoirs of the American Mathematical Society},
issn = {0065-9266},
mrclass = {03G30 (03-02 03E35 03E40 03F50 18B25 18D30)},
mrnumber = {MR732901 (86d:03057)},
mrreviewer = {W. S. Hatcher}
}
@ARTICLE{aa:nets-filters,
author = {Aarnes, J. F. and Andenaes, P. R.},
title = {On nets and filters},
journal = {Math. Scand.},
year = {1972},
volume = {31},
pages = {285--292 (1973)},
fjournal = {Mathematica Scandinavica},
issn = {0025-5521},
mrclass = {54A20},
mrnumber = {MR0324615 (48 \#2965)},
mrreviewer = {R. F. Dickman, Jr.}
}
@ARTICLE{aczel:rrs,
author = {Aczel, Peter},
title = {The relation reflection scheme},
journal = {MLQ Math. Log. Q.},
year = {2008},
volume = {54},
pages = {5--11},
number = {1},
doi = {10.1002/malq.200710035},
fjournal = {MLQ. Mathematical Logic Quarterly},
issn = {0942-5616},
mrclass = {03E65 (03E70 03F65)},
mrnumber = {MR2387391 (2008m:03110)},
mrreviewer = {Nicola Gambino},
url = {http://dx.doi.org/10.1002/malq.200710035}
}
@BOOK{aczel:afa,
title = {Non-well-founded sets},
publisher = {Stanford University Center for the Study of Language and Information},
year = {1988},
author = {Aczel, Peter},
volume = {14},
pages = {xx+137},
series = {CSLI Lecture Notes},
address = {Stanford, CA},
note = {Available at \url{http://standish.stanford.edu/pdf/00000056.pdf}},
isbn = {0-937073-22-9},
mrclass = {03E30 (03E65 03E70)},
mrnumber = {MR940014 (89j:03039)},
mrreviewer = {Alena Vencovsk{\'a}}
}
@INCOLLECTION{am:final-coalg,
author = {Aczel, Peter and Mendler, Nax},
title = {A final coalgebra theorem},
booktitle = {Category theory and computer science ({M}anchester, 1989)},
publisher = {Springer},
year = {1989},
volume = {389},
series = {Lecture Notes in Comput. Sci.},
pages = {357--365},
address = {Berlin},
mrclass = {18A35 (03E70 16W30 18C99)},
mrnumber = {MR1031572 (91f:18001)},
mrreviewer = {Walter Tholen}
}
@TECHREPORT{aczel:cst,
author = {Peter Aczel and Michael Rathjen},
title = {Notes on Constructive Set Theory},
institution = {Reports Institut Mittag-Leffler},
year = {2000/2001},
type = {Mathematical Logic},
number = {40},
note = {Available at \url{http://www.ml.kva.se/preprints/meta/AczelMon_Sep_24_09_16_56.rdf.html}}
}
@ARTICLE{MR1261550,
author = {Ad{\'a}mek, J.},
title = {Existence and nonexistence of regular generators},
journal = {Canad. Math. Bull.},
year = {1994},
volume = {37},
pages = {3--7},
number = {1},
coden = {CMBUA3},
fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques},
issn = {0008-4395},
mrclass = {18A35 (18A20 18A40)},
mrnumber = {MR1261550 (95b:18002)},
mrreviewer = {Walter Tholen}
}
@ARTICLE{adamek:cor-cplt-alg,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}}},
title = {Corrigendum: ``{H}ow complete are categories of algebras?'' [{B}ull.\
{A}ustral.\ {M}ath.\ {S}oc.\ {\bf 36} (1987), no.\ 3, 389--409; {MR}0923821
(89a:18010)]},
journal = {Bull. Austral. Math. Soc.},
year = {1991},
volume = {43},
pages = {351},
number = {2},
coden = {ALNBAB},
fjournal = {Bulletin of the Australian Mathematical Society},
issn = {0004-9727},
mrclass = {18C15 (18A35)},
mrnumber = {MR1097075 (91m:18012)}
}
@ARTICLE{MR1108196,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}}},
title = {On quasitopos hulls of topological categories},
journal = {Rend. Circ. Mat. Palermo (2) Suppl.},
year = {1990},
pages = {21--33},
number = {24},
note = {Fourth Conference on Topology (Italian) (Sorrento, 1988)},
fjournal = {Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento},
mrclass = {54B30 (18B15 18B25 54E99)},
mrnumber = {MR1108196 (92g:54010)},
mrreviewer = {H. Herrlich}
}
@ARTICLE{adamek:cplt-alg,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}}},
title = {How complete are categories of algebras?},
journal = {Bull. Austral. Math. Soc.},
year = {1987},
volume = {36},
pages = {389--409},
number = {3},
coden = {ALNBAB},
fjournal = {Bulletin of the Australian Mathematical Society},
issn = {0004-9727},
mrclass = {18C15 (18A35)},
mrnumber = {MR923821 (89a:18010)},
mrreviewer = {Walter Tholen}
}
@ARTICLE{MR836324,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}}},
title = {On a problem of {H}errlich concerning topological axioms},
journal = {Topology Appl.},
year = {1986},
volume = {22},
pages = {175--182},
number = {2},
coden = {TIAPD9},
fjournal = {Topology and its Applications},
issn = {0166-8641},
mrclass = {18B30 (54B30)},
mrnumber = {MR836324 (87j:18010)},
mrreviewer = {G. E. Strecker}
}
@INCOLLECTION{MR835466,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}}},
title = {Topological axioms and completions},
booktitle = {Convergence structures 1984 (Bechyn\v e, 1984)},
publisher = {Akademie-Verlag},
year = {1985},
volume = {24},
series = {Math. Res.},
pages = {11--24},
address = {Berlin},
mrclass = {54B30 (18B15)},
mrnumber = {MR835466 (87f:54016)},
mrreviewer = {H. Herrlich}
}
@ARTICLE{adamek:colim-alg,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}}},
title = {Colimits of algebras revisited},
journal = {Bull. Austral. Math. Soc.},
year = {1977},
volume = {17},
pages = {433--450},
number = {3},
fjournal = {Bulletin of the Australian Mathematical Society},
issn = {0004-9727},
mrclass = {18C15},
mrnumber = {MR0470020 (57 \#9792)},
mrreviewer = {E. G. Manes}
}
@ARTICLE{MR0274373,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}}},
title = {Some generalizations of the notions limit and colimit},
journal = {Comment. Math. Univ. Carolinae},
year = {1970},
volume = {11},
pages = {823--827},
fjournal = {Commentationes Mathematicae Universitatis Carolinae},
issn = {0010-2628},
mrclass = {08.30 (05.00)},
mrnumber = {MR0274373 (43 \#138)},
mrreviewer = {H. Gonshor}
}
@ARTICLE{ablr:classif-acc,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Borceux, Francis and Lack, Stephen
and Rosick{\'y}, Ji{\v{r}}{\'{\i}}},
title = {A classification of accessible categories},
journal = {J. Pure Appl. Algebra},
year = {2002},
volume = {175},
pages = {7--30},
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 = {18C35 (18A30 18A35 18C30)},
mrnumber = {MR1935970 (2003i:18006)},
mrreviewer = {R. H. Street}
}
@ARTICLE{aesv:lax-epi,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and El Bashir, Robert and Sobral, Manuela
and Velebil, Ji{\v{r}}{\'{\i}}},
title = {On functors which are lax epimorphisms},
journal = {Theory Appl. Categ.},
year = {2001},
volume = {8},
pages = {509--521 (electronic)},
fjournal = {Theory and Applications of Categories},
issn = {1201-561X},
mrclass = {18A20},
mrnumber = {MR1870614 (2002k:18001)},
mrreviewer = {Walter Tholen}
}
@ARTICLE{MR857544,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Herrlich, Horst},
title = {Cartesian closed categories, quasitopoi and topological universes},
journal = {Comment. Math. Univ. Carolin.},
year = {1986},
volume = {27},
pages = {235--257},
number = {2},
coden = {CMUCAA},
fjournal = {Commentationes Mathematicae Universitatis Carolinae},
issn = {0010-2628},
mrclass = {18D15 (18B25)},
mrnumber = {MR857544 (88c:18003)},
mrreviewer = {I. W. Alderton}
}
@INCOLLECTION{MR1047905,
author = {Ad{\'a}mek, J. and Herrlich, H. and Reiterman, J.},
title = {Cocompleteness almost implies completeness},
booktitle = {Categorical topology and its relation to analysis, algebra and combinatorics
(Prague, 1988)},
publisher = {World Sci. Publ., Teaneck, NJ},
year = {1989},
pages = {246--256},
mrclass = {18A35},
mrnumber = {MR1047905 (91j:18005)},
mrreviewer = {Walter Tholen}
}
@ARTICLE{MR1913101,
author = {Ad{\'a}mek, J. and Herrlich, H. and Rosick{\'y}, J. and Tholen, W.},
title = {On a generalized small-object argument for the injective subcategory
problem},
journal = {Cah. Topol. G\'eom. Diff\'er. Cat\'eg.},
year = {2002},
volume = {43},
pages = {83--106},
number = {2},
fjournal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
issn = {1245-530X},
mrclass = {18A32 (18A20 18G05)},
mrnumber = {MR1913101 (2003h:18001)},
mrreviewer = {Jin Zhong Xu}
}
@ARTICLE{ahrt:wfs,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Herrlich, Horst and Rosick{\'y},
Ji{\v{r}}{\'{\i}}and Tholen, Walter},
title = {Weak factorization systems and topological functors},
journal = {Appl. Categ. Structures},
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,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Herrlich, Horst and Strecker, George
E.},
title = {Abstract and concrete categories: the joy of cats},
journal = {Repr. Theory Appl. Categ.},
year = {2006},
pages = {1--507 (electronic)},
number = {17},
note = {Reprint of the 1990 original [Wiley, New York; MR1051419]},
fjournal = {Reprints in Theory and Applications of Categories},
issn = {1201-561X},
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},
title = {Monadic decompositions},
journal = {J. Pure Appl. Algebra},
year = {1989},
volume = {59},
pages = {111--123},
number = {2},
coden = {JPAAA2},
fjournal = {Journal of Pure and Applied Algebra},
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.},
title = {Finitary sketches},
journal = {J. Symbolic Logic},
year = {1997},
volume = {62},
pages = {699--707},
number = {3},
coden = {JSYLA6},
fjournal = {The Journal of Symbolic Logic},
issn = {0022-4812},
mrclass = {03G30 (03C75 03C95 18C10 68Q65)},
mrnumber = {MR1472119 (99e:03044)},
mrreviewer = {Leo Esakia}
}
@ARTICLE{MR1200421,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Reiterman, Jan},
title = {A correction: ``{T}he quasitopos hull of the category of uniform
spaces'' [{T}opology {A}ppl.\ {\bf 27} (1987), no.\ 2, 97--104; {MR}0911684
(88j:54014)]},
journal = {Topology Appl.},
year = {1992},
volume = {48},
pages = {179--184},
number = {3},
coden = {TIAPD9},
fjournal = {Topology and its Applications},
issn = {0166-8641},
mrclass = {54B30 (18B25 18B30)},
mrnumber = {MR1200421 (93m:54023)}
}
@ARTICLE{MR1240190,
author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Reiterman, Jan},
title = {The category of uniform spaces as a completion of the category of
metric spaces},
journal = {Comment. Math. Univ. Carolin.},
year = {1992},
volume = {33},
pages = {689--693},
number = {4},
coden = {CMUCAA},
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mrclass = {54B30 (18B25 18D15 54E15)},
mrnumber = {MR911684 (88j:54014)},
mrreviewer = {H. Herrlich}
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@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},
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author = {Awodey, Steve},
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@PHDTHESIS{awodey:thesis,
author = {Steven Awodey},
title = {Logic in topoi: functorial semantics for higher-order logic},
school = {University of Chicago},
year = {1997}
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@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}
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@ARTICLE{bd:hda3,
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@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,
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@INCOLLECTION{barendregt:lcwt,
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@ARTICLE{barr:coeq-free,