English

Generalized equivariant homology on simplicial complexes

Algebraic Topology 2011-03-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1103.1555,
  title  = {Generalized equivariant homology on simplicial complexes},
  author = {Jason Hanson},
  journal= {arXiv preprint arXiv:1103.1555},
  year   = {2011}
}
R2 v1 2026-06-21T17:36:42.071Z