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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj7724 https://www.mathnet.ru/eng/smj/v63/i6/p1204
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