摘 要:
本文研究了强零维度量空间,借助点星弱邻域网刻画了强零维度量空间,获得了强零维度量空间等价于具有离散覆盖列的点星弱邻域网的非空正则空间,回答了葛英提出的一个问题.[著者文摘]
文章出处:
《数学杂志》-2007年27卷6期 -701-703页
Journal of Mathematics
分 类 号:
文章编号:
0255-7797(2007)06-0701-03
[参考文献]
A CHARACTERIZATION OF STRONGLY ZERO-DIMENSIONAL METRIC SPACES
ZHANG Da (Dept. of Math., Ningde Teachers' College, Ningde 352100, China)
Abstract:
In this paper, the strongly zero-dimensional metric space is studied, we use point-star weakly neighborhood network to character the strongly zero-dimensional metric space and obtain that a nonempty space is a strongly zero-dimensional metric space if and only if it is a regular space having point-star weakly neighborhood networked by a sequence of discrete covers, which answers the question posed by Ge Ying.[著者文摘]
Key words:
strongly zero-dimensional space; metric space ; development; point-star network
收稿日期: 2005-04-02

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