Topology/Homology Groups
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A homology group is a group derived from a space's chain complex.
Definition
[edit | edit source]Given a chain complex
the n-th homology group is
- . We have a similar situation to the fundamental group.
- Theorem
A continuous function on topological spaces always induces homomorphisms . If is a homeomorphism, is an isomorphism.
Examples
[edit | edit source](under construction)
Exercises
[edit | edit source](under construction)