The term ``homology group'' usually means a singular homology group, which is an Abelian Group which partially counts the number of Holes in a Topological Space. In particular, singular homology groups form a Measure of the Hole structure of a Space, but they are one particular measure and they don't always pick up everything.

In addition, there are ``generalized homology groups'' which are *not* singular homology groups.

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1999-05-25