Geodesic
Spectral representations of topological groups and near-openly generated groups
Sbornik. Mathematics, Tome 211 (2020) no. 2, pp. 258-274

Voir la notice de l'article provenant de la source Math-Net.Ru

Near-openly generated groups are introduced. They form a topological and multiplicative subclass of $\mathbb R$-factorizable groups. Dense and open subgroups, quotients and the Raikov completion of a near-openly generated group are near-openly generated. Almost connected pro-Lie groups, Lindelöf almost metrizable groups and the spaces $C_p(X)$ of all continuous real-valued functions on a Tychonoff space with pointwise convergence topology are near-openly generated. We provide characterizations of near-openly generated groups using methods of inverse spectra and topological game theory. Bibliography: 24 titles.
Keywords: topological group, (nearly open) homomorphism, inverse spectrum, topological game, $\mathbb R$-factorizable group. 
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V. M. Valov; K. L. Kozlov. Spectral representations of topological groups and near-openly generated groups. Sbornik. Mathematics, Tome 211 (2020) no. 2, pp. 258-274. http://geodesic.mathdoc.fr/item/SM_2020_211_2_a3/