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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 2, Pages 7–12
(Mi vmumm51)
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This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
Characterization of R-factorizable G-spaces
E. Martyanov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
In this paper we characterize R-factorizability of G-spaces and prove the equivalence of R-factorizability and ω-U property for G-spaces with d-open actions of ω-narrow groups. It is shown that the R-factorizability characterizes those compact coset spaces which are coset spaces of ω-narrow groups. The notion of m- and M-factorizable G-spaces is introduced, which generalizes the corresponding notions for topological groups.
Key words:
topological group, G-space, factorization, uniformity, d-open action.
Received: 28.03.2016
Citation:
E. Martyanov, “Characterization of R-factorizable G-spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 2, 7–12; Moscow University Mathematics Bulletin, 72:2 (2017), 49–54
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https://www.mathnet.ru/eng/vmumm51 https://www.mathnet.ru/eng/vmumm/y2017/i2/p7
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Abstract page: | 263 | Full-text PDF : | 70 | References: | 51 | First page: | 1 |
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