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 |
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