Categories and Sheaves

Authors:

ISBN: 978-3-540-27949-5 (Print) 978-3-540-27950-1 (Online)

Table of contents (20 chapters)

  1. No Access

    Book Chapter

    Pages 1-8

    Introduction

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    Book Chapter

    Pages 9-34

    The Language of Categories

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    Book Chapter

    Pages 35-69

    Limits

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    Book Chapter

    Pages 71-91

    Filtrant Limits

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    Book Chapter

    Pages 93-111

    Tensor Categories

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    Book Chapter

    Pages 113-130

    Generators and Representability

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    Book Chapter

    Pages 131-147

    Indization of Categories

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    Book Chapter

    Pages 149-165

    Localization

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    Book Chapter

    Pages 167-213

    Additive and Abelian Categories

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    Book Chapter

    Pages 215-240

    π-accessible Objects and F-injective Objects

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    Book Chapter

    Pages 241-268

    Triangulated Categories

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    Book Chapter

    Pages 269-296

    Complexes in Additive Categories

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    Book Chapter

    Pages 297-318

    Complexes in Abelian Categories

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    Book Chapter

    Pages 319-345

    Derived Categories

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    Book Chapter

    Pages 347-368

    Unbounded Derived Categories

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    Book Chapter

    Pages 369-387

    Indization and Derivation of Abelian Categories

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    Book Chapter

    Pages 389-403

    Grothendieck Topologies

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    Book Chapter

    Pages 405-433

    Sheaves on Grothendieck Topologies

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    Book Chapter

    Pages 435-460

    Abelian Sheaves

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    Book Chapter

    Pages 461-481

    Stacks and Twisted Sheaves