A REPRESENTATION THEOREM FOR QUASI-METRIC SPACES

被引：12

作者：

VITOLO, P ^{[1
]}

机构：

[1] UNIV BASILICATA,DIPARTIMENTO MATEMAT,I-85100 POTENZA,ITALY

来源：

TOPOLOGY AND ITS APPLICATIONS | 1995年 / 65卷 / 01期

关键词：

QUASI-METRIC SPACE; QUASI-METRIZABLE SPACE; QUASI-METRIC; EXTENDED QUASI-METRIC; HYPERSPACE; HAUSDORFF QUASI-METRIC;

D O I：

10.1016/0166-8641(95)00106-Q

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every quasi-metric space is isomorphic to a subspace of the hyperspace of a suitable metric space, endowed with the Hausdorff quasi-metric. Therefore a topological space is quasi-metrizable if and only if it can be embedded in a Hausdorff quasi-metric hyperspace.

引用

页码：101 / 104

页数：4