Uniform convergence on spaces of multifunctions

Mathematica Slovaca

Dušan Holý¹ 

关键词: Hausdorff metric topology;    multifunction with closed graph;    USCO multifunction;    minimal USCO multifunction;    densely continuous form;    locally bounded densely continuous form;    complete metric space;    Baire space;   

DOI  :  10.2478/s12175-007-0046-z

学科分类：数学（综合）

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

【 摘 要 】

We study spaces of multifunctions with closed values, multifunctions with closed graphs, USCO multifunctions, minimal USCO multifunctions and the space of densely continuous forms as metric spaces, equipped with the topology of uniform convergence. We give conditions under which these metric spaces are complete.

【 授权许可】

Unknown