Methods of Homological Algebra
1st Edition
Published on 17. April 2013
XVIII, 374 pages
978-3-662-03220-6 (ISBN)
Description
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.
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Other editions
New editions
Sergei I. Gelfand | Yuri I. Manin
Methods of Homological Algebra
E-Book
03/2013
2nd Edition
Springer
€128.39
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Additional editions
Sergei I. Gelfand | Yuri J. Manin
Methods of Homological Algebra
Book
10/1996
Springer
€85.59
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Content
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.
