Selections and countable compactness

Mathematica Slovaca

Valentin Gutev¹  David Buhagiar¹ 

关键词: hyperspace topology;    Vietoris topology;    continuous selection;    countable compactness;   

DOI  :  10.2478/s12175-013-0160-z

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

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.

【 授权许可】

Unknown