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+-...

Full description

Saved in:
Bibliographic Details
Published inTopology and its applications Vol. 275; p. 107007
Main Author Osipov, Alexander V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.04.2020
Subjects
[formula omitted]-topology
Bitopological space
Hyperspace
k-perfect space
Perfect space
Selection principles
Upper Fell topology
54D20
Hyperspace
k-perfect space
54B20
Selection principles
54E55
Z+-topology
Upper Fell topology
Bitopological space
Perfect space
Online AccessGet full text

Cover

More Information
Summary: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