Yuri I. Manin: Methods of Homological Algebra

Cover: 9783642078132 | Methods of Homological Algebra | Yuri I. Manin (u. a.) | Taschenbuch

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2010
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xx 372 S. 3 s/w Illustr.
ISBN-13:	9783642078132
ISBN-10:	3642078133
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Manin, Yuri I. Gelfand, Sergei I.
Auflage:	Second Edition 2003
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 22 mm
Von/Mit:	Yuri I. Manin (u. a.)
Erscheinungsdatum:	06.12.2010
Gewicht:	0,598 kg