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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||Handle Link:||https://hdl.handle.net/1959.11/5064||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||Other Links:||http://www.vdm-publishing.com/
|Extent of Pages:||61||Statistics to Oct 2018:||Visitors: 288|
|Appears in Collections:||Book|
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