homology group(redirected from Homology (mathematics))
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homology group[hə′mäl·ə·jē ‚grüp]
Associated to a topological space X, one of a sequence of Abelian groups Hn (X) that reflect how n-dimensional simplicial complexes can be used to fill up X and also help determine the presence of n-dimensional holes appearing in X. Also known as Betti group.