On Spaces Star Determined by Compact Metrizable Subspaces

被引：0
|
作者：
Xuan, Wei-Feng [1 ]
Song, Yan-Kui [2 ]
机构：
[1] Nanjing Audit Univ, Sch Stat & Math, Nanjing 211815, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210046, Jiangsu, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 06期
关键词：
Star-CM; Star countable; Star compact; g-Function;
D O I：
10.1007/s41980-019-00230-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A space X is said to be star determined by compact metrizable subspaces (star-CM for short) if for any open cover U of X there is a compact and metrizable subspace Y subset of X such that St(Y,U)=X. This notation of star-CM was introduced by van Mill, Tkachuk and Wilson in (Topol Appl 154:2127-2134, 2007). In this paper, we investigate the relations between star-CM spaces and related spaces, and study topological properties of star-CM spaces. We also establish a cardinal theorem for star-CM spaces with symmetric g-functions.
引用
收藏
页码：1795 / 1803
页数：9
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