A Functor Converting Equivariant Homology to Homotopy
Algebraic Topology
2007-08-01 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0603455,
title = {A Functor Converting Equivariant Homology to Homotopy},
author = {Zhaohu Nie},
journal= {arXiv preprint arXiv:math/0603455},
year = {2007}
}
Comments
11 pages. Major style change. The final published version