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Title: Homotopy Theory of Modules: Absolute and Relative Homotopy Groups of Modules using the Injective Homotopy Category
Contributor(s): Bleile, Beatrice  (author)
Publication Date: 2009
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Abstract: 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.
Publication Type: Book
Publisher: VDM Verlag Dr Müller
Place of Publication: Berlin, Germany
ISBN: 9783639109535
Field of Research (FOR): 010103 Category Theory, K Theory, Homological Algebra
Socio-Economic Objective (SEO): 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Category Description: A1 Authored Book - Scholarly
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Extent of Pages: 61
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Appears in Collections:Book

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