ENGLISH

Methods of Homological Algebra

By Sergei I. Gelfand , Yuri I. Manin (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2003
ISBN
978-3-642-07813-2, 978-3-662-12492-5
DOI
10.1007/978-3-662-12492-5
Language
english
Format
PDF
Filesize
4 MB (4292550 bytes)
Series
Springer Monographs in Mathematics
Edition
2
Pages
372\389
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Category TheoryHomological Algebra

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 a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections.

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