Wijsman hyperspaces: subspaces and embeedings

Cao, J; Junnila, HJK; Moors, WB

doi:10.1016/j.topol.2011.06.065

Cao, J; Junnila, HJK; Moors, WB

Abstract

In this paper, topological properties of Wijsman hyperspaces are investigated. We study the existence of isolated points in Wijsman hyperspaces. We show that every Tychonoff space can be embedded as a closed subspace in the Wijsman hyperspace of a complete metric space which is locally R.

Date

2011

Source

Topology and Its Applications. Volume 159, Issue 6, 1 April 2012, Pages 1620–1624

Item Type

Journal Article

Publisher

Elsevier

DOI

10.1016/j.topol.2011.06.065

Rights Statement

Copyright © 2011 Elsevier Ltd. All rights reserved. This is the author’s version of a work that was accepted for publication in (see Citation). Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. The definitive version was published in (see Citation). The original publication is available at (see Publisher's Version)