Comparability of Lower Attouch-Wets Topologies

被引：0

作者：

Rosa, Marco ^{[1
]}

Vitolo, Paolo ^{[1
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, Via dellAteneo Lucano 10, I-85100 Potenza, Italy

来源：

FILOMAT | 2017年 / 31卷 / 05期

关键词：

Hyperspace; metrizable space; Attouch-Wets topology; UNIFORM CONTINUITY; CONVERGENCE; SETS;

D O I：

10.2298/FIL1705435R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Beer and Di Concilio [4] have given necessary and sufficient conditions for a two-sided Attouch-Wets topology to contain another on the hyperspace of non-empty closed subsets of a metrizable space as determined by metrics compatible with the topology. In the present paper, we characterize comparability of lower Attouch-Wets topologies as determined by compatible metrics.

引用

页码：1435 / 1440

页数：6

共 35 条

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