Homotopy Theory of Modules

Homotopy Theory of Modules
Автор
 
Год
 
Страниц
 
76
ISBN
 
9783639109535
Категория
 
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Описание:

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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