Geodesic
Characterization of $\Bbb R$-factorizable $G$-spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 7-12

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In this paper we characterize $\mathbb R$-factorizability of $G$-spaces and prove the equivalence of $\mathbb R$-factorizability and $\omega$-$U$ property for $G$-spaces with $\mathrm{d}$-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 notion of $m$- and $M$-factorizable $G$-spaces is introduced, which generalizes the corresponding notions for topological groups. 
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     author = {E. Martyanov},
     title = {Characterization of $\Bbb R$-factorizable $G$-spaces},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {7--12},
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     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a1/}
}
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E. Martyanov. Characterization of $\Bbb R$-factorizable $G$-spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 7-12. http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a1/