Topology/Homology Groups
< Topology
A homology group is a group derived from a space's chain complex.
Definition edit
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
(under construction)
Exercises edit
(under construction)