Categories and sheaves

By:

Kashiwara, Masaki

Contributor(s):

Schapira, Pierre

Series: series of comprehensive studies in mathematics; 332Publication details: Springer-Verlag, 2006. Berlin:Description: 490p.; pbk; 23cmISBN:

9783642066207

Subject(s):

DDC classification:

514.224 KAS

Summary: 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. https://rd.springer.com/book/10.1007/3-540-27950-4#about

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	514.224 KAS (Browse shelf(Opens below))	1	Available		031400

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Previous	514.223 TUL Introduction to manifolds	514.224 HUS Fibre bundles	514.224 JAM Fibrewise topology	514.224 KAS Categories and sheaves	514.224 KAS Sheaves on manifolds	514.224 KAU Knots and physics	514.2242 SOS Knots, links and their invariants: an elementary course in contemporary knot theory	Next

Includes references and index

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.

https://rd.springer.com/book/10.1007/3-540-27950-4#about

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