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Methods of Homological Algebra
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Catalogue Information
Field name
Details
Dewey Class
512.66
Title
Methods of Homological Algebra ([EBook]) / by Sergei I. Gelfand, Yuri I. Manin.
Author
Gelfand, Sergei I.
Added Personal Name
Manin, Yuri Ivanovich
Gelfand, Sergei I.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1996.
Physical Details
XVIII, 374 pages : online resource.
ISBN
9783662032206
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-03220-6
Links to Related Works
Subject References:
K-Theory
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Mathematics
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Authors:
author
.
Gelfand, Sergei I.
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Gelʹfand, Sergej I.
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Manin, Yuri Ivanovich
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See Also:
Gelªfand, S. I. (Serge™i Izrailevich)
.
Gelʹfand, S. I. (Sergeĭ Izrailevich)
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Gelʹfand, Sergej I., 1944-
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Manin, Jurij I.
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Manin, Jurij I., 1937-
.
Corporate Authors:
SpringerLink (Online service)
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Classification:
512.66
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