Abstract
We prove an equivariant version of the Dold–Thom theorem by giving an explicit isomorphism between Bredon–Illman homology and equivariant homotopical homology π*(F
G
(X, L)), where G is a finite group and L is a G-module. We use the homotopical definition to obtain several properties of this theory and we do some calculations.
ACKNOWLEDGMENT
Carlos Prieto was partially supported by PAPIIT grant IN110902 and by CONACYT grant 43724.
Notes
1Notice that the system of invariants of L is denoted by L in Lima-Filho (Citation1997) and dos Santos (Citation2003).
Communicated by R. H. Villarreal.