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强零维度量空间的刻画
引用本文:张达.强零维度量空间的刻画[J].数学杂志,2007,27(6):701-703.
作者姓名:张达
作者单位:宁德师范高等专科学校数学系,福建宁德,352100
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.

关 键 词:强零维空间  度量空间  展开  点星网
文章编号:0255-7797(2007)06-0701-03
修稿时间:2005-04-02

A CHARACTERIZATION OF STRONGLY ZERO-DIMENSIONAL METRIC SPACES
ZHANG Da.A CHARACTERIZATION OF STRONGLY ZERO-DIMENSIONAL METRIC SPACES[J].Journal of Mathematics,2007,27(6):701-703.
Authors:ZHANG Da
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.
Keywords:strongly zero-dimensional space  metric space  development  point-star network
本文献已被 CNKI 维普 万方数据 等数据库收录!
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