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Topology and its ApplicationsVolume 275, 15 April 2020, Article number 107007

Selectors for sequences of subsets of hyperspaces(Article)(Open Access)

  • Osipov, A.V.
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  • Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Ural State University of Economics, Yekaterinburg, 620219, Russian Federation

Abstract

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+). © 2019 Elsevier B.V.

Author keywords

Bitopological spaceHyperspacek-perfect spacePerfect spaceSelection principlesUpper Fell topologyZ+-topology
  • ISSN: 01668641
  • CODEN: TIAPD
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.topol.2019.107007
  • Document Type: Article
  • Publisher: Elsevier B.V.


© Copyright 2020 Elsevier B.V., All rights reserved.

Cited by 6 documents

Kočinac, L.D.R. , Sen, R.
On the Reznichenko and Pytkeev properties in hyperspaces
(2023) Topology and its Applications
Osipov, A.V.
Selection principles and bitopological hyperspaces
(2023) Applied General Topology
Caruvana, C. , Holshouser, J.
Selection games and the Vietoris space
(2022) Topology and its Applications
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