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＜電子ブック＞
Methods of Homological Algebra / by Sergei I. Gelfand, Yuri I. Manin
(Springer Monographs in Mathematics. ISSN:21969922)

版	2nd ed. 2003.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2003
本文言語	英語
大きさ	XX, 372 p : online resource
著者標目	*Gelfand, Sergei I author Manin, Yuri I author SpringerLink (Online service)
件　名	LCSH:Algebra, Homological FREE:Category Theory, Homological Algebra
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 a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections HTTP:URL=https://doi.org/10.1007/978-3-662-12492-5

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