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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 6, Pages 1204–1212
DOI: https://doi.org/10.33048/smzh.2022.63.602 (Mi smj7724) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the properties of subclasses of weakly dyadic compact spaces

V. I. Belugina, A. V. Osipovbca, E. G. Pytkeevab

a N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
c Ural State University of Economics, Ekaterinburg
Full-text PDF (320 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2022.63.602
Abstract: This article studies the properties of various subclasses of weakly dyadic compact spaces. We prove that each weakly dyadic compact space is a strictly a-space. We also show that the product of a compact space and a Corson compact space without isolated points is a strictly a-space.
Keywords: condensation, a-space, strictly a-space, weakly dyadic space, thick space.
Received: 13.08.2021
Revised: 22.11.2021
Accepted: 10.12.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 6, Pages 1034–1040
DOI: https://doi.org/10.1134/S0037446622060027
Bibliographic databases:
Document Type: Article
UDC: 515.122.5
MSC: 35R30
Language: Russian
Citation: V. I. Belugin, A. V. Osipov, E. G. Pytkeev, “On the properties of subclasses of weakly dyadic compact spaces”, Sibirsk. Mat. Zh., 63:6 (2022), 1204–1212; Siberian Math. J., 63:6 (2022), 1034–1040
Citation in format AMSBIB
\Bibitem{BelOsiPyt22}
\by V.~I.~Belugin, A.~V.~Osipov, E.~G.~Pytkeev
\paper On the properties of subclasses of weakly dyadic compact spaces
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 6
\pages 1204--1212
\mathnet{http://mi.mathnet.ru/smj7724}
\crossref{https://doi.org/10.33048/smzh.2022.63.602}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4528743}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 6
\pages 1034--1040
\crossref{https://doi.org/10.1134/S0037446622060027}
Linking options:
  • https://www.mathnet.ru/eng/smj7724
  • https://www.mathnet.ru/eng/smj/v63/i6/p1204
    • This publication is cited in the following 2 articles:
    1. Alexander V. Osipov, Evgenii G. Pytkeev, “Every metric space of weight λ=λℵ0 admits a condensation onto a Banach space”, Topology and its Applications, 330 (2023), 108486  crossref
    2. A. E. Lipin, A. V. Osipov, “On condensations onto σ-compact spaces”, Dokl. Math., 106:2 (2022), 351–355  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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