Categories and Sheaves

Categories and Sheaves

AngličtinaEbook
Kashiwara, Masaki
Springer Berlin Heidelberg
EAN: 9783540279501
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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.
EAN 9783540279501
ISBN 3540279504
Typ produktu Ebook
Vydavateľ Springer Berlin Heidelberg
Dátum vydania 20. decembra 2005
Jazyk English
Krajina Uruguay
Autori Kashiwara, Masaki; Schapira, Pierre
Séria Grundlehren der mathematischen Wissenschaften