Selections and countable compactness

Author:

Buhagiar David1,Gutev Valentin1

Affiliation:

1. Department of Mathematics Faculty of Science, University of Malta, Msida, MSD 2080, Malta

Abstract

Abstract The present paper deals with continuous extreme-like selections for the Vietoris hyperspace of countably compact spaces. Several new results and applications are established, along with some known results which are obtained under minimal hypotheses. The paper contains also a number of examples clarifying the role of countable compactness.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On pseudocompact spaces with a weak selection;Topology and its Applications;2017-10

2. Selections and approaching points in products;Commentationes Mathematicae Universitatis Carolinae;2016-04-13

3. Selection topologies;Topology and its Applications;2015-12

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