强零维度量空间的刻画  

A CHARACTERIZATION OF STRONGLY ZERO-DIMENSIONAL METRIC SPACES

作　　者：张达[1] 

机构地区：[1]宁德师范高等专科学校数学系,福建宁德352100

出　　处：《数学杂志》2007年第6期701-703,共3页Journal of Mathematics

基　　金：福建省教育厅科研资助项目(JB04195)

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.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.

关 键 词：强零维空间 度量空间 展开 点星网 

分 类 号：O189.1[理学—数学]