30 research outputs found
A Functor Converting Equivariant Homology to Homotopy
In this paper, we prove an equivariant version of the classical Dold-Thom
theorem. Associated to a finite group, a CW-complex on which this group acts
and a covariant coefficient system in the sense of Bredon, we functorially
construct a topological abelian group by the coend construction. Then we prove
that the homotopy groups of this topological abelian group are naturally
isomorphic to the Bredon equivariant homology of the CW-complex. At the end we
present several examples of this result.Comment: 11 pages. Major style change. The final published versio