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A Functor Converting Equivariant Homology to Homotopy

Authors
  • Nie, Zhaohu
Type
Published Article
Publication Date
Aug 01, 2007
Submission Date
Mar 18, 2006
Identifiers
DOI: 10.1112/blms/bdm029
arXiv ID: math/0603455
Source
arXiv
License
Unknown
External links

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.

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