Assertion: free abelian group | /r/CapableOf | agree with simplicial homology groups
Facets:
value: for a simplicial complex
type: PURPOSE
Source sentences:
text: The simplicial homology groups H n (X) of a simplicial complex X are defined using the simplicial chain complex C(X), with C n (X) the free abelian group generated by the n-simplices of X. The singular homology groups H n (X) are defined for any topological space X, and agree with the simplicial homology groups for a simplicial complex.