Selection principles and bitopological hyperspaces

Alexander V. Osipov

doi:10.4995/agt.2023.12424

Authors

Alexander V. Osipov Ural Federal University ; Ural State University of Economics

DOI:

https://doi.org/10.4995/agt.2023.12424

Keywords:

hyperspace, upper Fell topology, selection principles, bitopological space, k-perfect space

Abstract

In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. For a Hausdorff space X we denote by 2^X the family of all closed subsets of X. We investigate selection properties of the bitopological space (2^X, Δ₁⁺ , Δ₂⁺) where Δ_i⁺ is the upper Δ_i-topology for each i=1,2.

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Author Biography

Alexander V. Osipov, Ural Federal University ; Ural State University of Economics

Krasovskii Institute of Mathematics and Mechanics

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