Generalized equivariant homology on simplicial complexes

Details Generalized equivariant homology on simplicial complexes Generalized equivariant homology on simplicial complexes

2011-03-08

arxiv.org/abs/1103.1555v1

Mathematics

Algebraic Topology

Scientific paper

A careful account is given of generalized equivariant homology theories on the category of topological pairs acted on by a group. In particular, upon restriction to the category of equivariant simplicial complexes, the equivalence of equivariant simplicial homology (also known as Bredon homology), the second derived term of the Atiyah--Hirzebruch spectral sequence, and equivariant singular homology is demonstrated.

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