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Categories and sheaves

Author: Masaki Kashiwara; Pierre Schapira
Publisher: Berlin ; New York : Springer, ©2006.
Series: Grundlehren der mathematischen Wissenschaften, 332.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays. This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kashiwara, Masaki, 1947-
Categories and sheaves.
Berlin ; New York : Springer, c2006
(DLC) 2005930329
(OCoLC)61703264
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Masaki Kashiwara; Pierre Schapira
ISBN: 9783540279501 3540279504 3540279490 9783540279495
OCLC Number: 262692091
Description: 1 online resource (x, 497 p.) : ill.
Contents: The language of categories --
Limits --
Filtrant Limits --
Tensor categories --
Generators and Representability --
Indization of categories --
Localization --
Additive and Abelian categories --
pi-accessible objects and F-injective Objects --
Triangulated Categories --
Complexes in additive categories --
Complexes in Abelian Categories --
Derived Categories --
Unbounded Derived Categories --
Indization and Derivation of Abelian Categories --
Grothendieck Topologies --
Sheaves on Grothendieck Topologies --
Abelian Sheaves --
Stacks and Twisted Sheaves --
References --
Notations
Series Title: Grundlehren der mathematischen Wissenschaften, 332.
Responsibility: Masaki Kashiwara, Pierre Schapira.
More information:

Abstract:

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner. It presents the general  Read more...

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From the reviews: "This book of Kashiwara and Schapira, recognized specialists in algebraic analysis, is a detailed full-scale exposition of categories, homological algebra and sheaves. These notions Read more...

 
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