Methods of Homological Algebra / by Sergei I. Gelfand, Yuri I. Manin
(Springer Monographs in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 版 | Second Edition |
| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 2003 |
| 本文言語 | 英語 |
| 大きさ | XX, 372 p : online resource |
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| 内容注記 | 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 |
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| 一般注記 | 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 a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections |
| 著者標目 | *Gelfand, Sergei I. author Manin, Yuri I. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Category theory (Mathematics) LCSH:Homological algebra FREE:Mathematics FREE:Category Theory, Homological Algebra |
| 分 類 | DC23:512.6 |
| 巻冊次 | ISBN:9783662124925 
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| ISBN | 9783662124925 |
| URL | http://dx.doi.org/10.1007/978-3-662-12492-5 |
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