Alexander-Spanier Cohomology

A fundamental result of de Rham cohomology is that the kth de Rham cohomology vector space of a manifold M is canonically isomorphic to the Alexander-Spanier cohomology vector space H^k(M;R) (also called cohomology with compact support). In the case that M is compact, Alexander-Spanier cohomology is exactly "singular" cohomology.

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Cite this as:

Weisstein, Eric W. "Alexander-Spanier Cohomology." From MathWorld--A Wolfram Web Resource.

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