Borel–Moore homology
= Borel–Moore homology
{wiki=Borel–Moore_homology}
Borel–Moore homology is a homological algebraic concept that arises in the study of algebraic varieties, particularly in the context of algebraic geometry and algebraic topology. It is a form of homology theory designed to handle locally compact topological spaces, with particular application to appropriate classes of varieties, such as quasi-projective varieties or complex algebraic varieties.