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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

Beatrice Bleile

60,06 €
IVA incluido
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Editorial:
KS OmniScriptum Publishing
Año de edición:
2009
Materia
Matemáticas
ISBN:
9783639109535
60,06 €
IVA incluido
Disponible

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Sobre IBD

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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