Three Open Problems on the Wijsman Topology

Date
2016-09-11
Authors
Cao, J
Supervisor
Item type
Commissioned Report
Degree name
Journal Title
Journal ISSN
Volume Title
Publisher
arXiv
Abstract

Since it first emerged in Wijsman's seminal work [29], the Wijsman topology has been intensively studied in the past 50 years. In particular, topological properties of Wijsman hyperspaces, relationships between the Wijsman topology and other hyperspace topologies, and applications of the Wijsman topology in analysis have been explored. However, there are still several fundamental open problems on this topology. In this article, the author gives a brief survey on these problems and some up-to-date partial solutions.

Description
Keywords
Baire; Completely metrizable; Completeness-type properties; Non-separable; Normal; Wijsman hyperspace; Wijsman topology
Source
arXiv:1609.03119 [math.GN]
DOI
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