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Homology Group


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.


See also

Homology

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References

Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.

Referenced on Wolfram|Alpha

Homology Group

Cite this as:

Weisstein, Eric W. "Homology Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomologyGroup.html

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