INFIMA OF HYPERSPACE TOPOLOGIES

被引：7

作者：

COSTANTINI, C ^{[1
]}

LEVI, S ^{[1
]}

PELANT, J ^{[1
]}

机构：

[1] ACAD SCI CZECH REPUBL, DEPT MATH, CR-11567 PRAGUE 1, CZECH REPUBLIC

来源：

MATHEMATIKA | 1995年 / 42卷 / 83期

关键词：

D O I：

10.1112/S0025579300011360

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study infima of families of topologies on the hyperspace of a metrizable space. We prove that Kuratowski convergence is the infimum, in the lattice of convergences, of all Wijsman topologies and that the cocompact topology on a metric space which is complete for a metric d is the infimum of the upper Wijsman topologies arising from metrics that are uniformly equivalent to d.

引用

页码：67 / 86

页数：20

共 19 条

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