Remarks on star countable discrete closed spaces

被引：0
|
作者：
Song, Yan-Kui [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210046, Jiangsu, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2013年 / 63卷 / 02期
基金：
中国国家自然科学基金;
关键词：
pseudocompact; normal; Tychonoff; star countable; absolutely star countable; star countable discrete closed; absolutely star countable discrete closed space; COVERING PROPERTIES;
D O I：
10.1007/s10587-013-0029-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the following statements: (1) There exists a Tychonoff star countable discrete closed, pseudocompact space having a regular-closed subspace which is not star countable. (2) Every separable space can be embedded into an absolutely star countable discrete closed space as a closed subspace. (3) Assuming , there exists a normal absolutely star countable discrete closed space having a regular-closed subspace which is not star countable.
引用
收藏
页码：451 / 460
页数：10
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