Characterization of \mathbb R-Factorizable G-Spaces / E. V. Martyanov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 2. P. 7-12
[Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 49-54].
The \mathbb R-factorizability of G-spaces is characterized in the paper
and the equivalence of \mathbb R-factorizability and \omega-U property is proved for G-spaces
with d-open actions of \omega -narrow groups. It is shown that the \mathbb R-factorizability
characterizes those compact coset spaces which are coset spaces of \omega -narrow groups.
The concepts of m- and M-factorizable G-spaces are introduced, which generalizes the
corresponding concepts for topological groups.