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In mathematics, Borel−Moore homology or homology with closed support is a homology theory for locally compact spaces, introduced by Borel and Moore (1960). For compact spaces, the Borel−Moore homology coincide with the usual singular homology, but for non-compact spaces, it usually gives homology groups with better properties.Note: There is an equivariant cohomology theory for spaces upon which a group G acts which is also called Borel cohomology and is defined as . This is not related to the subject of this article.

Conceptual map: Borel–Moore homology

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Fecha publicación: 21.4.2015

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