Categories and Sheaves
Buch in deiner Nähe kaufen
Beschreibung
Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing 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.
Most recent results (and sometimes beyond) are presented in an exhaustive manner from scratch to full proofs Gives a full treatment of unbounded derived categories with applications to sheaf theory on Grothendieck topology
Autor*in
Masaki Kashiwara
Themen in »Categories and Sheaves«
Category theory Homological algebra algebra sheaves stacks unbound derived categories
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From the reviews:
"This book of Kashiwara and Schapira, recognized specialists in algebraic analysis, is a detailed full-scale exposition of categories, homological algebra and sheaves. These notions are presented from scratch up to the most recent (sometimes new) results … ." (Corrado Marastoni, Mathematical Reviews, Issue 2006 k)
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