Categories and Sheaves

Name: Categories and Sheaves
SKU: 3039104
Price: 296.99 AUD
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Hardback

Series:

Grundlehren Der Mathematischen Wissenschaften

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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.

Author Biography:

Masaki Kashiwara Professor at the Rims, Kyoto University Plenary speaker ICM 1978 Invited speaker ICM 1990 http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/ Pierre Schapira, Professor at University Pierre et Marie Curie (Paris VI) Invited speaker ICM 1990 http://www.math.jussieu.fr/~schapira/

Release date Australia

October 20th, 2005

Author

Audience

Professional & Vocational

Illustrations

x, 498 p.

Pages

498

Series

Grundlehren Der Mathematischen Wissenschaften

Dimensions

156x234x28

ISBN-13

9783540279495

Product ID

3039104

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