Amsterdam properties of Wijsman hyperspaces

Date
2010
Authors
Cao, J
Junnila, HJK
Supervisor
Item type
Journal Article
Degree name
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract

In this paper we show the following results: (i) there exists a separable metric space of the first category whose Wijsman hyperspace is almost countably subcompact; (ii) there exists a σ-discrete crowded metric space whose Wijsman hyperspace is countably base-compact. Neither of these can occur with Vietoris hyperspaces.

Description
Keywords
Baire space , Ball topology , Pseudocomplete , Subcompact , Wijsman topology
Source
Proceedings of the American Mathematical Society, vol.138(2), pp.769 - 776
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