411 REFERENCE · Wikibooks
Topology/Homology Groups
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Topology Homology Groups Exact Sequences Relative Homology
A homology group is a group derived from a space's chain complex.
Definition
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
(under construction)
Exercises
(under construction)
Topology Homology Groups Exact Sequences Relative Homology