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Categories and Sheaves

Categories and Sheaves

Masaki Kashiwara, Pierre Schapira (auth.)
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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.

Categories:
Year:
2006
Edition:
1
Publisher:
Springer-Verlag Berlin Heidelberg
Language:
english
Pages:
498
ISBN 10:
3540279490
ISBN 13:
9783540279495
Series:
Grundlehren der mathematischen Wissenschaften 332
File:
DJVU, 3.32 MB
IPFS:
CID , CID Blake2b
english, 2006
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