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On the Properties of Subclasses of Weakly Dyadic Compact Spaces

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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.

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Acknowledgment

The authors are grateful to the referee for useful remarks.

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Correspondence to V. I. Belugin.

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Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 6, pp. 1204–1212. https://doi.org/10.33048/smzh.2022.63.602

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Belugin, V.I., Osipov, A.V. & Pytkeev, E.G. On the Properties of Subclasses of Weakly Dyadic Compact Spaces. Sib Math J 63, 1034–1040 (2022). https://doi.org/10.1134/S0037446622060027

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  • DOI: https://doi.org/10.1134/S0037446622060027

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