Equivariant Dold-Thom topological groups
Algebraic Topology
2011-02-01 v1
Abstract
Let be a covariant coefficient system for a finite group . In this paper we analyze several topological abelian groups, some of them new, whose homotopy groups are isomorphic to the Bredon-Illman -equivariant homology theory with coefficients in . We call these groups equivariant Dold-Thom topological groups and we show that they are unique up to homotopy. We use one of the new groups to prove that the Bredon-Illman homology satisfies the infinite-wedge axiom and to make some calculations of the 0th equivariant homology.
Cite
@article{arxiv.1101.5724,
title = {Equivariant Dold-Thom topological groups},
author = {Marcelo A. Aguilar and Carlos Prieto},
journal= {arXiv preprint arXiv:1101.5724},
year = {2011}
}