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Sbornik: Mathematics, 2020, Volume 211, Issue 2, Pages 258–274
DOI: https://doi.org/10.1070/SM9193 (Mi sm9193) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Spectral representations of topological groups and near-openly generated groups

V. M. Valova, K. L. Kozlovb

a Nipissing University, North Bay, ON, Canada
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
English version PDF (525 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM9193
Abstract: 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.
Funding agency Grant number
Natural Sciences and Engineering Research Council of Canada (NSERC) 261914-13
Russian Foundation for Basic Research 17-51-18051 Болг_а
The research of V. M. Valov was carried out with the support of the Natural Sciences and Engineering Research Council of Canada — NSERC (grant no. 261914-13). The research of K. L. Kozlov was carried out with the support of the Russian Foundation for Basic Research (grant no. 17-51-18051 Болг_а).
Received: 12.11.2018 and 07.04.2019
Russian version:
Matematicheskii Sbornik, 2020, Volume 211, Number 2, Pages 106–124
DOI: https://doi.org/10.4213/sm9193
Bibliographic databases:
Document Type: Article
UDC: 512.546
MSC: 22A05, 22A25
Language: English
Original paper language: Russian
Citation: V. M. Valov, K. L. Kozlov, “Spectral representations of topological groups and near-openly generated groups”, Mat. Sb., 211:2 (2020), 106–124; Sb. Math., 211:2 (2020), 258–274
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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