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Equivariant homotopy epimorphisms, homotopy monomorphisms and homotopy equivalences. (English) Zbl 0868.55003

Let \(G\) be a finite group. Using Bredon-Illman cohomology with equivariant local coefficients systems conditions are given on a morphism in the \(G\)-homotopy category of pointed \(G\)-complexes to be an equivalence. In the case of the trivial group a variant of a result of E. Dyer and J. Roitberg [Topology Appl. 46, 119-124 (1992; Zbl 0760.55005)] is recovered.
Reviewer: K.H.Kamps (Hagen)

MSC:

55N91 Equivariant homology and cohomology in algebraic topology
55N25 Homology with local coefficients, equivariant cohomology

Citations:

Zbl 0760.55005
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