bibliography.bib

@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},
}

@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},
}

@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},
}

@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},
}

@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},
}

@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},
}

@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},
}

@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,
}

@article {HarrisVenkateshDerivedHeckeAlgebras,
    AUTHOR = {Harris, Michael and Venkatesh, Akshay},
     TITLE = {Derived {H}ecke algebra for weight one forms},
   JOURNAL = {Exp. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {28},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {342--361},
      ISSN = {1058-6458,1944-950X},
   MRCLASS = {11F75 (11F25 11F80 20C08)},
  MRNUMBER = {3985839},
MRREVIEWER = {Claus\ Mazanti\ Sorensen},
       DOI = {10.1080/10586458.2017.1409144},
}

@unpublished{ConradCechCohomologyAlternatingCochains,
  title = {Cech Cohomology and Alternating Cochains},
  author = {Conrad, Brian},
  url = {https://math.stanford.edu/~conrad/papers/cech.pdf},
  howpublished = {Lecture notes},
  langid = {english},
  pagetotal = {2}
}

@book{lurieHigherToposTheory2009,
  title = {Higher Topos Theory},
  author = {Lurie, Jacob},
  date = {2009},
  series = {Annals of Mathematics Studies},
  number = {no. 170},
  publisher = {Princeton University Press},
  location = {Princeton, N.J},
  isbn = {978-0-691-14049-0},
  langid = {english},
  pagetotal = {925},
  keywords = {Categories (Mathematics),Higher Category Theory,Toposes},
  annotation = {OCLC: ocn244702012},
}

@online{lurieInfinityTopoi2003,
  title = {On {{Infinity Topoi}}},
  author = {Lurie, Jacob},
  date = {2003-07-08},
  eprint = {math/0306109},
  eprinttype = {arXiv},
  url = {http://arxiv.org/abs/math/0306109},
  urldate = {2024-06-19},
  abstract = {In this paper we investigate an infinitely categorical analogue of the theory of Grothendieck topoi. In particular, we define infinity topoi and prove an analogue of Giraud's theorem, expressing the equivalence of ``intrinsic'' and ``extrinsic'' definitions. We also discuss the relationship between the theory of infinity topoi and classical topics in homotopy theory and dimension theory.},
  pubstate = {preprint},
  version = {2},
  keywords = {03G30,Mathematics - Algebraic Topology,Mathematics - Category Theory},
}

@book{hatcherAlgebraicTopology2002,
  title = {Algebraic Topology},
  author = {Hatcher, Allen},
  date = {2002},
  publisher = {Cambridge University Press},
  location = {Cambridge, New York},
  isbn = {978-0-521-79540-1},
  pagetotal = {544},
  keywords = {Algebraic Topology},
}

@book{voisinHodgeTheoryComplex2002,
  title = {Hodge {{Theory}} and {{Complex Algebraic Geometry I}}},
  author = {Voisin, Claire},
  translator = {Schneps, Leila},
  date = {2002},
  series = {Cambridge {{Studies}} in {{Advanced Mathematics}}},
  volume = {1},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  doi = {10.1017/CBO9780511615344},
  abstract = {The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.},
  isbn = {978-0-521-80260-4},
}

@book{bottDifferentialFormsAlgebraic1982,
  title = {Differential {{Forms}} in {{Algebraic Topology}}},
  author = {Bott, Raoul and Tu, Loring W.},
  date = {1982},
  series = {Graduate {{Texts}} in {{Mathematics}}},
  volume = {82},
  publisher = {Springer},
  location = {New York, NY},
  doi = {10.1007/978-1-4757-3951-0},
  isbn = {978-1-4419-2815-3 978-1-4757-3951-0},
  keywords = {Algebraic,Algebraic topology,Algebraische Topologie,Characteristic class,cohomology,cohomology theory,homology,Homotopy,homotopy theory,Topology},
}