Selectors for sequences of subsets of hyperspaces

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.