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Equivariant Dold-Thom topological groups

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Marcelo A. Aguilar and Carlos Prieto

Let $M$ be a covariant coefficient system for a finite group $G$. In this paper
we analyze several topological abelian groups, some of them new, whose homotopy groups are isomorphic to the Bredon-Illman $G$-equivariant
homology theory with coefficients in $M$. 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.

Journal of Homotopy and Related Structures, Vol. 6(2011), No. 2, pp. 183-209