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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

Paperback

General Mathematics

ISBN10: 3639109538
ISBN13: 9783639109535
Publisher: Blues Kids Of Amer
Published: Jan 6 2009
Pages: 76
Weight: 0.25
Height: 0.16 Width: 6.00 Depth: 9.00
Language: English
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.

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General Mathematics