Methods of Homological 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 lea...

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Bibliographic Details
Main Author: Gelfand, Sergei I.
Corporate Author: SpringerLink (Online service)
Other Authors: Manin, I︠U︡. I.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2003.
Edition:Second edition.
Series:Springer monographs in mathematics.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
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.
Item Description:Electronic resource.
Physical Description:1 online resource (xx, 374 pages)
ISBN:9783662124925 (electronic bk.)
3662124920 (electronic bk.)
ISSN:1439-7382