Conditions which imply Lindelofness in star-Lindelof spaces

被引：0
作者：
Song, YK [1 ]
机构：
[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2005年 / 31卷 / 03期
关键词：
property B; Lindelof; star-Lindelof;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A space X has property B if for every increasing open cover {U-proportional to : alpha < tau} of X, there is an increasing open cover {V-alpha : alpha < tau} such that V-alpha subset of U-alpha, for any alpha < tau. In this paper, we prove that every regular star-Lindelof space is Lindelof if and only if it has the property B.
引用
收藏
页码：809 / 813
页数：5
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