Cocompactness and quasi-uniformizability of completely metrizable spaces

被引：4

作者：

Künzi, HPA ^{[1
]}

机构：

[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa

来源：

TOPOLOGY AND ITS APPLICATIONS | 2003年 / 133卷 / 01期

关键词：

cocompact; completely metrizable; quasi-uniformity; swelling; pairwise completely regular;

D O I：

10.1016/S0166-8641(03)00056-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a metrizable topological space X is completely metrizable if and only if it admits a quasi-uniformity U such that the topology induced by the conjugate quasi-uniformity U-1 on X is compact. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：89 / 95

页数：7

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