Selectors for sequences of subsets of hyperspaces

Selectors for sequences of subsets of hyperspaces

For a Hausdorff space X we denote by 2X the family of all closed subsets of X. In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. We investigate selectors for sequence of subsets of the space 2X with the Z+-...

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Veröffentlicht in:Topology and its applications 2020-04, Vol.275, p.107007, Article 107007
1. Verfasser: Osipov, Alexander V.
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-topology
Bitopological space
Hyperspace
k-perfect space
Perfect space
Selection principles
Upper Fell topology
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Zusammenfassung:For a Hausdorff space X we denote by 2X the family of all closed subsets of X. In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. We investigate selectors for sequence of subsets of the space 2X with the Z+-topology and the upper Fell topology (F+-topology). Also we consider the selection properties of the bitopological space (2X,F+,Z+).
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2019.107007