ENGLISH

Categories and Sheaves

By Masaki Kashiwara , Pierre Schapira (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2006
ISBN
3540279490, 978-3-540-27949-5
DOI
10.1007/3-540-27950-4
Language
english
Format
DJVU
Filesize
3 MB (3477903 bytes)
Series
Grundlehren der mathematischen Wissenschaften 332
Edition
1
Pages
498\495
Time added
2011-06-04 13:46:07
Category TheoryHomological Algebra; Manifolds and Cell Complexes

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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