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@book{AtiyahCommutativeAlgebra,
AUTHOR = {Atiyah, M. F. and Macdonald, I. G.},
TITLE = {Introduction to commutative algebra},
PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills,
Ont.},
YEAR = {1969},
PAGES = {ix+128},
MRCLASS = {13.00},
MRNUMBER = {242802},
MRREVIEWER = {Johnny\ A.\ Johnson},
}
@book{WeibelHomologicalAlgebra,
AUTHOR = {Weibel, Charles A.},
TITLE = {An introduction to homological algebra},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {38},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {1994},
PAGES = {xiv+450},
ISBN = {0-521-43500-5},
MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)},
MRNUMBER = {1269324},
MRREVIEWER = {Kenneth\ A.\ Brown},
DOI = {10.1017/CBO9781139644136},
URL = {https://doi.org/10.1017/CBO9781139644136},
}
@incollection{KrauseDerivedCategories,
AUTHOR = {Krause, Henning},
TITLE = {Derived categories, resolutions, and {B}rown representability},
BOOKTITLE = {Interactions between homotopy theory and algebra},
SERIES = {Contemp. Math.},
VOLUME = {436},
PAGES = {101--139},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2007},
ISBN = {978-0-8218-3814-3},
MRCLASS = {18E30 (18G10)},
MRNUMBER = {2355771},
DOI = {10.1090/conm/436/08405},
URL = {https://doi.org/10.1090/conm/436/08405},
}
@book{riehlCategoryTheoryContext2016,
title = {Category {{Theory}} in {{Context}}},
author = {Riehl, Emily},
date = {2016},
publisher = {{Dover Publications}},
isbn = {978-0-486-80903-8},
langid = {english},
pagetotal = {250},
keywords = {Category Theory},
}
@article{VerdierCategoriesDeriveesCategories,
AUTHOR = {Verdier, Jean-Louis},
TITLE = {Des cat\'{e}gories d\'{e}riv\'{e}es des cat\'{e}gories ab\'{e}
liennes},
NOTE = {With a preface by Luc Illusie, Edited and with a note by Georges
Maltsiniotis},
JOURNAL = {Ast\'{e}risque},
FJOURNAL = {Ast\'{e}risque},
NUMBER = {239},
YEAR = {1996},
PAGES = {xii+253},
ISSN = {0303-1179,2492-5926},
MRCLASS = {18E30 (18-03 18E35)},
MRNUMBER = {1453167},
MRREVIEWER = {Amnon\ Neeman},
}
@book{Dummit_Foote_2004,
AUTHOR = {Dummit, David S. and Foote, Richard M.},
TITLE = {Abstract algebra},
EDITION = {3},
PUBLISHER = {John Wiley \& Sons, Inc., Hoboken, NJ},
YEAR = {2004},
PAGES = {xii+932},
ISBN = {0-471-43334-9},
MRCLASS = {00-01 (16-01 20-01)},
MRNUMBER = {2286236},
}
@book{Kashiwara_Schapira_2010,
AUTHOR = {Kashiwara, Masaki and Schapira, Pierre},
TITLE = {Categories and sheaves},
SERIES = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {332},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2006},
PAGES = {x+497},
ISBN = {978-3-540-27949-5},
MRCLASS = {18-02 (14F05 18F20)},
MRNUMBER = {2182076},
MRREVIEWER = {Corrado\ Marastoni},
DOI = {10.1007/3-540-27950-4},
URL = {https://doi.org/10.1007/3-540-27950-4},
}
@misc{stack_exchange_abelianiffcoimim,
TITLE = {Equivalent conditions for a preabelian category to be abelian},
AUTHOR = {Theo Bühler},
HOWPUBLISHED = {Mathematics Stack Exchange},
urldate = {2017-04-13},
URL = {https://math.stackexchange.com/q/45239},
}
@book{MunkresTopology,
AUTHOR = {Munkres, James R.},
TITLE = {Topology},
EDITION = {Second},
PUBLISHER = {Prentice Hall, Inc., Upper Saddle River, NJ},
YEAR = {2000},
PAGES = {xvi+537},
ISBN = {0-13-181629-2},
MRCLASS = {54-01},
MRNUMBER = {3728284},
}
@misc{stacks-project,
author = {The {Stacks project authors}},
title = {The Stacks project},
howpublished = {\url{https://stacks.math.columbia.edu}},
year = {2024},
}
@book{IversenCohomologyOfSheaves,
AUTHOR = {Iversen, Birger},
TITLE = {Cohomology of sheaves},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {1986},
PAGES = {xii+464},
ISBN = {3-540-16389-1},
MRCLASS = {14F05 (14-01 18-01 54-01)},
MRNUMBER = {842190},
MRREVIEWER = {G.\ Horrocks},
DOI = {10.1007/978-3-642-82783-9},
URL = {https://doi.org/10.1007/978-3-642-82783-9},
}
@book{BredonSheafTheory,
AUTHOR = {Bredon, Glen E.},
TITLE = {Sheaf theory},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {170},
EDITION = {Second},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1997},
PAGES = {xii+502},
ISBN = {0-387-94905-4},
MRCLASS = {55N30 (18F20 54B40 55-02)},
MRNUMBER = {1481706},
DOI = {10.1007/978-1-4612-0647-7},
URL = {https://doi.org/10.1007/978-1-4612-0647-7},
}
@book{TennisonSheafTheory,
AUTHOR = {Tennison, B. R.},
TITLE = {Sheaf theory},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {No. 20},
PUBLISHER = {Cambridge University Press, Cambridge, England-New
York-Melbourne},
YEAR = {1975},
PAGES = {vii+164},
MRCLASS = {18F20 (55B30)},
MRNUMBER = {404390},
MRREVIEWER = {L.\ Kaup},
}
@book{KashiwaraSchapiraSheavesOnManifolds,
AUTHOR = {Kashiwara, Masaki and Schapira, Pierre},
TITLE = {Sheaves on manifolds},
SERIES = {Grundlehren der mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {292},
NOTE = {With a chapter in French by Christian Houzel, Corrected reprint of
the 1990 original},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {1994},
PAGES = {x+512},
ISBN = {3-540-51861-4},
MRCLASS = {58G07 (18F20 32C38 35A27)},
MRNUMBER = {1299726},
}
@book{DimcaSheavesInTopology,
AUTHOR = {Dimca, Alexandru},
TITLE = {Sheaves in topology},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2004},
PAGES = {xvi+236},
ISBN = {3-540-20665-5},
MRCLASS = {55N30 (14F43 32S60 55N25)},
MRNUMBER = {2050072},
MRREVIEWER = {Ana\ Jerem\'{\i}as L\'{o}pez},
DOI = {10.1007/978-3-642-18868-8},
URL = {https://doi.org/10.1007/978-3-642-18868-8},
}
@book{MacLaneMoerdijkSheavesGeometryLogic,
AUTHOR = {Mac Lane, Saunders and Moerdijk, Ieke},
TITLE = {Sheaves in geometry and logic},
SERIES = {Universitext},
NOTE = {A first introduction to topos theory, Corrected reprint of the 1992
edition},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1994},
PAGES = {xii+629},
ISBN = {0-387-97710-4},
MRCLASS = {03G30 (18B25 54B40)},
MRNUMBER = {1300636},
MRREVIEWER = {M.\ Makkai},
}
@article{TreumannExitPathsConstructibleStacks,
AUTHOR = {Treumann, David},
TITLE = {Exit paths and constructible stacks},
JOURNAL = {Compos. Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {145},
YEAR = {2009},
NUMBER = {6},
PAGES = {1504--1532},
ISSN = {0010-437X,1570-5846},
MRCLASS = {32S60 (14A20 14F05 18D05)},
MRNUMBER = {2575092},
MRREVIEWER = {David\ A.\ Blanc},
DOI = {10.1112/S0010437X09004229},
URL = {https://doi.org/10.1112/S0010437X09004229},
}
@article{CurryPatelClassificationConstructibleCosheaves,
AUTHOR = {Curry, Justin and Patel, Amit},
TITLE = {Classification of constructible cosheaves},
JOURNAL = {Theory Appl. Categ.},
FJOURNAL = {Theory and Applications of Categories},
VOLUME = {35},
YEAR = {2020},
PAGES = {Paper No. 27, 1012--1047},
ISSN = {1201-561X},
MRCLASS = {18F20 (32S60 55N31 58K99)},
MRNUMBER = {4117065},
MRREVIEWER = {Yanbo\ Zhou},
}
@book{maclane:71,
added-at = {2009-09-18T21:22:09.000+0200},
address = {New York},
author = {MacLane, Saunders},
biburl = {
https://www.bibsonomy.org/bibtex/29e8ca8b4bf357cc41e40e98cca25cb8c/minas
},
interhash = {51566d046db4c3ea930c2b5ca79173f1},
intrahash = {9e8ca8b4bf357cc41e40e98cca25cb8c},
keywords = {CategoryTheory},
mrclass = {18-02},
mrnumber = {MR0354798 (50 \#7275)},
mrreviewer = {H.-B. Brinkmann},
note = {Graduate Texts in Mathematics, Vol. 5},
pages = {ix+262},
publisher = {Springer-Verlag},
timestamp = {2009-09-18T21:22:09.000+0200},
title = {Categories for the Working Mathematician},
year = 1971,
}