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
收藏
页码：89 / 95
页数：7
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