Mukherjee, Goutam Equivariant homotopy epimorphisms, homotopy monomorphisms and homotopy equivalences. (English) Zbl 0868.55003 Bull. Belg. Math. Soc. - Simon Stevin 2, No. 4, 447-461 (1995). 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) Cited in 2 Documents MSC: 55N91 Equivariant homology and cohomology in algebraic topology 55N25 Homology with local coefficients, equivariant cohomology Keywords:homotopy epimorphism; homotopy monomorphism; homotopy equivalence; \(G\)-homotopy category; Bredon-Illman cohomology; local coefficients systems Citations:Zbl 0760.55005 PDFBibTeX XMLCite \textit{G. Mukherjee}, Bull. Belg. Math. Soc. - Simon Stevin 2, No. 4, 447--461 (1995; Zbl 0868.55003) Full Text: EuDML