Categories and sheaves
著者
書誌事項
Categories and sheaves
（Die Grundlehren der mathematischen Wissenschaften, v. 332）
Springer, c2006
- : pbk
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410.8//G89//836315100222403,15100223575,15100229655,15100229663,15100229671,15100253614,15100283637
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注記
Includes bibliographical references (p. [483]-486) and index
内容説明・目次
内容説明
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.
目次
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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