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Homotopy Theory of Modules: Absolute and Relative Homotopy Groups of Modules using the Injective Homotopy Category - Softcover
Synopsis
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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About the Author
Beatrice Bleile, Dipl.Math.ETH, PhD (University of Sydney), Lecturer in Mathematics at the University of New England, NSW, Australia.
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Homotopy Theory of Modules Absolute and Relative Homotopy Groups of Modules Using the Injective Homotopy Category
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Homotopy Theory of Modules Absolute and Relative Homotopy Groups of Modules using the Injective Homotopy Category (Paperback or Softback)
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