Selection principles and bitopological hyperspaces

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 2X the family of all closed subsets of X. We investigate selection properties of the bitopological space (2X, Δ1+ , Δ2+) where Δi+ is the upper Δi-topology for each i=1,2.

Keywords

• hyperspace
• upper fell topology
• selection principles
• bitopological space
• k-perfect space