Topology/Homology Groups

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Topology
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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)


Topology
 ← Exact Sequences Homology Groups Relative Homology →