A note on discrete sets

被引:0
作者
Spadaro, Santi [1 ]
机构
[1] Auburn Univ, Dept Math & Stat, 221 Parker Hall, Auburn, AL 36849 USA
来源
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2009年 / 50卷 / 03期
基金
美国国家科学基金会;
关键词
discrete set; dispersion character; compact space; Eberlein compact; free sequence; elementary submodel;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give several partial positive answers to a question of Juhasz and SzentmiklOssy regarding the minimum number of discrete sets required to cover a compact space. We study the relationship between the size of discrete sets, free sequences and their closures with the cardinality of a Hausdorff space, improving known results in the literature.
引用
收藏
页码:463 / 475
页数:13
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