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Book Methods Of Homological Algebra Second Edition Freeshipping

Posted at: Offers to Sell and Export | Posted on: Mon 07 Jun, 2010 1:13 am | Product Category: Algebra or pre algebra reference guides [21]
book methods homological algebra second edition freeshipping
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Methods of Homological Algebra (Second Edition), By Sergei I.Gelfand, English, Hardcover, 2009



Author Sergei I.Gelfand

Press Science Press

Isbn 7030234812/9787030234810

Publication Date Jan 2009

Pages 372

Size 16K

Edition Second

Cover Hardcover

Language English

Page material gelatine plate paper

Product 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.


1 Simplicial Sets

1.1 Triangulated Spaces

1.2 Simplicial Sets

1.3 Simplicial Topological Spaces and the Eilenberg-Zilber Theorem

1.4 Homology and Cohomology

1.5 Sheaves

1.6 The Exact Sequence

1.7 Complexes

2 Main Notions of the Category Theory

2.1 The Language of Categories and Functors

2.2 Categories and Structures, Equivalence of Categories

2.3 Structures and Categories. Representable Functors

2.4 Category Approach to the Construction of Geometrical Objects

2.5 Additive and Abelian Categories

2.6 Functors in Abelian Categories

3 Derived Categories and Derived Functors

3.1 Complexes as Generalized Objects

3.2 Derived Categories and Localization

3.3 Triangles as Generalized Exact Triples

3.4 Derived Category as the Localization of Homotopic Category

3.5 The Structure of the Derived Category

3.6 Derived Functors

3.7 Derived Functor of the Composition. Spectral Sequence

3.8 Sheaf Cohomology

4 Triangulated categories

5 Introduction to Homotopic Algebra



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