Compactness and local compactness of the proximal hyperspace

Year 2016, Volume: 45 Issue: 5, 1435 - 1440, 01.10.2016

Marco Rosa

Abstract

Compactness and local compactness of the hyperspace endowed with
both the Vietoris topology and the Hausdorff metric topology, have
been characterized by Costantini, Levi and Pelant. Our aim is to characterize these two properties for the proximal topology, which is related
to both of the previous topologies.

Keywords

Hyperspace, Proximal Topology, Local Compactness, Kuratowski Convergence

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