Abstract
The ℝ-factorizability of an equivariant image of an ℝ-factorizable G-space with a d-open action of an ω-narrow P-group is proved. It is shown that the ℝ-factorizability, m-factorizability, and M-factorizability of G-spaces are preserved by d-open equivariant mappings. It is also proved that the ℝ-factorizability of topological groups is preserved under d-open homomorphisms.
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Acknowledgments
The author is grateful to Prof. K.L. Kozlov for attention to the work.
The work was supported by the Russian Foundation for Basic Research (project no. 15-01-05369).
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Russian Text © The Author(s). 2020. published in Vestnik Moskovskogo Universiteta. Matematika. Mekhanika. 2020. Vol. 75. No. 1, pp. 56–59.
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Martyanov, E.V. The Factorizability of G-spaces is Preserved by Equivariant Mappings. Moscow Univ. Math. Bull. 75, 34–37 (2020). https://doi.org/10.3103/S0027132220010052
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DOI: https://doi.org/10.3103/S0027132220010052