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Titlebook: Methods of Homological Algebra; Sergei I. Gelfand,Yuri I. Manin Book 2003Latest edition Springer-Verlag Berlin Heidelberg 2003 Cohomology.

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发表于 2025-3-21 16:22:33 | 显示全部楼层 |阅读模式
书目名称Methods of Homological Algebra
编辑Sergei I. Gelfand,Yuri I. Manin
视频video
概述Includes supplementary material:
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Methods of Homological Algebra;  Sergei I. Gelfand,Yuri I. Manin Book 2003Latest edition Springer-Verlag Berlin Heidelberg 2003 Cohomology.
描述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.
出版日期Book 2003Latest edition
关键词Cohomology; Homological algebra; Sheaf cohomology; category theory; homotopical algebra
版次2
doihttps://doi.org/10.1007/978-3-662-12492-5
isbn_softcover978-3-642-07813-2
isbn_ebook978-3-662-12492-5Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag Berlin Heidelberg 2003
The information of publication is updating

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发表于 2025-3-21 23:15:22 | 显示全部楼层
1439-7382 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 a
发表于 2025-3-22 00:37:02 | 显示全部楼层
Book 2003Latest edition 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.
发表于 2025-3-22 06:19:51 | 显示全部楼层
1439-7382 fs 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.978-3-642-07813-2978-3-662-12492-5Series ISSN 1439-7382 Series E-ISSN 2196-9922
发表于 2025-3-22 09:38:42 | 显示全部楼层
Derived Categories and Derived Functors,t over .[..,..., ..]. Linear relations among elements of a generating system of solutions are, in turn, linear combinations of some finite set of relations, and again it might happen that there exists no free system of generators for relations.
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