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Methods of Homological Algebra / by Sergei I. Gelfand, Yuri J. Manin

1st ed. 1996.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 1996
本文言語 英語
大きさ XVIII, 374 p : online resource
著者標目 *Gelfand, Sergei I author
Manin, Yuri J author
SpringerLink (Online service)
件 名 LCSH:K-theory
FREE:K-Theory
一般注記 I. Simplicial Sets -- II. Main Notions of the Category Theory -- III. Derived Categories and Derived Functors -- IV. Triangulated Categories -- V. Introduction to Homotopic Algebra -- References
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn about a modern approach to homological algebra and to use it in their work
HTTP:URL=https://doi.org/10.1007/978-3-662-03220-6
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データ種別 電子ブック
分 類 LCC:QA612.33
DC23:512.66
書誌ID 4000110560
ISBN 9783662032206

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