Factorization of maps of spaces with bicompact group action into metrizable spaces (Q1182397)

The technique of deriving equivariant factorization theorems that was employed in [the author, Factorization of mappings of \(G\)-spaces onto metrizable spaces, in ``General topology -- spaces and mappings'' (1989; Zbl 0749.54001), 61-66] is generalized. New results are obtained for spaces with bicompact group action. As notable works in this area, we should mention the paper of \textit{V. Kh. Baladze} [Soobshch. Akad. Nauk Gruz. SSR 109, 257-260 (1983; Zbl 0539.54030)] and also the paper of \textit{M. G. Megrelishvili} [Quasi-bounded uniform \(G\)-spaces, paper deposited at Gruz. VINITI under No. 331-G87] which served as the basis for the author's above-mentioned paper.