Methods of homological algebra / Sergei I. Gelfand, Yuri I. Manin.

Format:

Book

Author/Creator:

Gelʹfand, S. I. (Sergeĭ Izrailevich)

Contributor:

Manin, I︠U︡. I.

Series:

Springer monographs in mathematics 1439-7382

Springer monographs in mathematics, 1439-7382

Standardized Title:

Metody gomologicheskoĭ algebry. English

Language:

English

Russian

Subjects (All):

Algebra, Homological.

Physical Description:

xx, 372 pages : illustrations ; 24 cm.

Edition:

Second edition.

Place of Publication:

Berlin ; New York : Springer, [2003]

Summary:

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.

Notes:

Includes bibliographical references (pages [357]-367) and index.

ISBN:

3540435832

OCLC:

50693335