Homotopy Theory Of Modules Absolute And Relative Homotopy Groups Of Modules Using The Injective Homotopy Category

Homotopy Theory Of Modules Absolute And Relative Homotopy Groups Of Modules Using The Injective Homotopy Category

by Beatrice Bleile
ISBN-10:
3639109538
ISBN-13:
9783639109535
Pub. Date:
01/06/2009
Publisher:
VDM Verlag

Paperback

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Overview

Homotopy Theory Of Modules Absolute And Relative Homotopy Groups Of Modules Using The Injective Homotopy Category

Homological algebra generalizes the construction of (co-)homology theory of topological spaces, making it available for algebraic theories. In a similar vein, the homotopy theory of modules attempts to imitate topological homotopy theory. A discussion of the categorical notion of duality precedes the definition of the injective homotopy category. The absolute and relative homotopy groups are then defined and investigated. Finally, the homotopy groups of the cyclic group C_m are calculated for trivial C_m-modules.

Product Details

ISBN-13: 9783639109535
Publisher: VDM Verlag
Publication date: 01/06/2009
Pages: 76
Product dimensions: 0.16(w) x 6.00(h) x 9.00(d)

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