A unified theory of generalized closed sets in weak structures

被引：0
|
作者：
Ahmad Al-Omari
Takashi Noiri
机构：
[1] Al al-Bayt University,Faculty of Sciences, Department of Mathematics
来源：
Acta Mathematica Hungarica | 2012年 / 135卷
关键词：
weak structure; generalized closed set; generalized topology; minimal structure; -regular; -normal; 54A05; 54C10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new kind of sets called generalized w-closed (briefly gw-closed) sets is introduced and studied in a topological space by using the concept of weak structures introduced by Á. Császár in [6]. The class of all gw-closed sets is strictly larger than the class of all w-closed sets. Furthermore, g-closed sets (in the sense of N. Levine [17]) is a special type of gw-closed sets in a topological space. Some of their properties are investigated. Finally, some characterizations of w-regular and w-normal spaces have been given.
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页码：174 / 183
页数：9
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