On weak-open π-images of metric spaces

被引：0
作者：
Zhaowen Li
机构：
[1] Hunan University,College of Mathematics and Econometrics
[2] Hunan Business College,Department of Information
来源：
Czechoslovak Mathematical Journal | 2006年 / 56卷
关键词：
weak-open mappings; -mappings; -developable spaces; Cauchy spaces; cs-covers; sn-covers; weak-developments; point-star networks;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give some characterizations of metric spaces under weak-open π-mappings, which prove that a space is g-developable (or Cauchy) if and only if it is a weak-open π-image of a metric space.
引用
收藏
页码：1011 / 1018
页数：7
相关论文
共 22 条
[1]  
Arhangel’skii A. V.(1996)Mappings and spaces Russian Math. Surveys 21 115-162
[2]  
Ponomarev V. I.(1960)Axioms of countability of continuous mappings Bull. Pol. Acad. Math. 8 127-133
[3]  
Siwiec F.(1974)On defining a space by a weak-base Pacific J. Math. 52 233-245
[4]  
Xia S.(2000)Characterizations of certain Adv. Math. 29 61-64
[5]  
Tanaka Y.(1991)-first countable spaces Math. Japonica 36 71-84
[6]  
Alexandroff P. S.(1938)Symmetric spaces, Mat. Sb. 3 663-672
[7]  
Niemytzki V.(1976)-developable space and Pacific J. Math. 65 113-118
[8]  
Lee K. B.(1965)-metrizable spaces Fund. Math. 57 107-115
[9]  
Franklin S. P.(1996)The condition of metrizability of topological spaces and the axiom of symmetry Adv. Math. 25 548-551
[10]  
Lin S.(2002)On certain Acta Math. Sinica 45 1157-1164
123