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✦   LIBER   ✦

Methods of homological algebra

✍ Scribed by S. I. Gelfand, Yuri I. Manin

Book ID
127418183
Publisher
Springer
Year
1996
Tongue
English
Weight
3 MB
Edition
1st
Category
Library
City
Berlin; New York
ISBN-13
9780387547466

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Гомологическая алгебра

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