Wijsman hyperspaces: subspaces and embeddings

Date
2011-11-22
Authors
Cao, J
Junnila, H
Moors, W
Supervisor
Item type
Commissioned Report
Degree name
Journal Title
Journal ISSN
Volume Title
Publisher
Cornell University
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.

Description
Keywords
Wijsman hyperspace , Metric space , Embedding , Tychonoff , Zero-dimensional
Source
DOI
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