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

页码：157 / 162

页数：6

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