Dimension Axiom

One of the Eilenberg-Steenrod axioms. Let X be a single point space. H_n(X)=0 unless n=0, in which case H_0(X)=G where G are some groups. The H_0 are called the coefficients of the homology H(·).

See also

Eilenberg-Steenrod Axioms, Homology

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Cite this as:

Weisstein, Eric W. "Dimension Axiom." From MathWorld--A Wolfram Web Resource.

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