COUNTABLY Z-COMPACT SPACES

被引：1
|
作者：
Al-Ani, A. T. [1 ]
机构：
[1] Irbid Natl Univ, Coll Sci & Informat Technol, Dept Math, Irbid, Jordan
来源：
ARCHIVUM MATHEMATICUM | 2014年 / 50卷 / 02期
关键词：
z-compact space; z-Lindelof space; compact space; pseudocompact space; realcompact space;
D O I：
10.5817/AM2014-2-97
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study countably z-compact spaces and z-Lindelof spaces. Several new properties of them are given. It is proved that every countably z-compact space is pseuodocompact (a space on which every real valued continuous function is bounded). Spaces which are countably z-compact but not countably compact are given. It is proved that a space is countably z-compact iff every countable z-closed set is compact. Characterizations of countably z-compact and z-Lindelof spaces by multifunctions are given.
引用
收藏
页码：97 / 100
页数：4
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