A note on closed images of locally compact metric spaces

被引：4
|
作者：
Lin, S [1 ]
机构：
[1] Zhangzhou Normal Univ, Dept Math, Zhanghou 363000, Peoples R China
[2] Nindge Teachers Coll, Dept Math, Nindge 352100, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2005年 / 109卷 / 1-2期
关键词：
closed mappings; locally compact spaces; metric spaces; k-networks; cs*-networks;
D O I：
10.1007/s10474-005-0239-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A decomposition theorem about closed images of locally compact metric spaces is discussed. It is shown that a space is a closed image of a locally compact metric space if and only if it is a regular Frechet space with a point-countable k-network, and each of its closed first-countable subset is locally compact.
引用
收藏
页码：157 / 162
页数：6
相关论文
共 50 条
12345