Overview
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.
- | Author: Beatrice Bleile
- | Publisher: VDM Verlag
- | Publication Date: Jan 06, 2009
- | Number of Pages: 76 pages
- | Binding: Paperback or Softback
- | ISBN-10: 3639109538
- | ISBN-13: 9783639109535
