Categories and sheaves
Author(s)
Bibliographic Information
Categories and sheaves
(Die Grundlehren der mathematischen Wissenschaften, v. 332)
Springer, c2006
- : pbk
Available at 99 libraries
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410.8//G89//836315100222403,15100223575,15100229655,15100229663,15100229671,15100253614,15100283637
Note
Includes bibliographical references (p. [483]-486) and index
Description and Table of Contents
Description
Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic 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.
Table of Contents
The Language of Categories.- Limits.- Filtrant Limits.- Tensor Categories.- Generators and Representability.- Indization of Categories.- Localization.- Additive and Abelian Categories.- ?-accessible Objects and F-injective Objects.- Triangulated Categories.- Complexes in Additive Categories.- Complexes in Abelian Categories.- Derived Categories.- Unbounded Derived Categories.- Indization and Derivation of Abelian Categories.- Grothendieck Topologies.- Sheaves on Grothendieck Topologies.- Abelian Sheaves.- Stacks and Twisted Sheaves.
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