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Author Gelfand, Sergei I
Title Methods of Homological Algebra [electronic resource] / by Sergei I. Gelfand, Yuri I. Manin
Imprint Berlin, Heidelberg : Springer Berlin Heidelberg, 2003
book jacket
Edition Second edition
Descript 1 online resource (xx, 374 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Springer Monographs in Mathematics, 1439-7382
Springer monographs in mathematics
Note I. Simplical Sets -- II. Main Notions of the Category Theory -- III. Derived Categories and Derived Functors -- IV. Triangulated Categories -- V. Introduction to Homotopic Algebra
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
Link Print version: 9783642078132
Subject Mathematics
Algebra
Electronic books
Alt Author Manin, Yuri I
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