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

共 50 条

[21] UNIVERSAL MAPS AND SURJECTIVE CHARACTERIZATIONS OF COMPLETELY METRIZABLE LCN-SPACES
CHIGOGIDZE, A
VALOV, V
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (04) : 1125 - 1133
[22] Once again on topological spaces containing a dense completely metrizable subset
Kenderov, P. S.
Revalski, J. P.
TOPOLOGY AND ITS APPLICATIONS, 2023, 340
[23] Quasi-Metrizable Spaces Satisfying Certain Completeness Conditions
H.-P. A. Künzi
Acta Mathematica Hungarica, 2002, 95 : 345 - 357
[24] Quasi-metrizable spaces satisfying certain completeness conditions
Künzi, HPA
ACTA MATHEMATICA HUNGARICA, 2002, 95 (04) : 345 - 357
[25] Chaos for endomorphisms of completely metrizable groups and linear operators on Fréchet spaces
Jiang, Zhen
Li, Jian
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (02)
[26] Remainders of metrizable and close to metrizable spaces
Arhangel'skii, A. V.
FUNDAMENTA MATHEMATICAE, 2013, 220 (01) : 71 - 81
[27] METRIZABLE SPACES
ROBINSON, SM
AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (06): : 677 - &
[28] Metrizable and weakly metrizable coset spaces
Ling, Xuewei
Lin, Shou
He, Wei
TOPOLOGY AND ITS APPLICATIONS, 2021, 291
[29] Quasi-measures on completely regular spaces
Boardman, JP
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (02) : 447 - 470
[30] On completely quasi regular groups and spaces.
Appert, A
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1943, 216 : 679 - 681

← 1 2 3 4 5 →