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Categories and Sheaves (Grundlehren der mathematischen Wissenschaften)

Description: 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. The authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies.

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Categories and Sheaves (Grundlehren der mathematischen Wissenschaften)Categories and Sheaves (Grundlehren der mathematischen Wissenschaften)

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EAN: 9783642066207

UPC: 9783642066207

ISBN: 9783642066207

MPN: N/A

Item Length: 23.4 cm

Number of Pages: 498 Pages

Language: English

Publication Name: Categories and Sheaves

Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg

Publication Year: 2010

Subject: Mathematics

Item Height: 235 mm

Item Weight: 771 g

Type: Textbook

Author: Masaki Kashiwara, Pierre Schapira

Item Width: 155 mm

Format: Paperback

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