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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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