On generalized closed sets

被引：11
|
作者：
Cao, JL
Ganster, M
Reilly, I
机构：
[1] Graz Univ Technol, Dept Math, A-8010 Graz, Austria
[2] Univ Auckland, Dept Math, Auckland 1, New Zealand
来源：
TOPOLOGY AND ITS APPLICATIONS | 2002年 / 123卷 / 01期
关键词：
generalized closed set; T-gs-space; submaximal; extremally disconnected;
D O I：
10.1016/S0166-8641(01)00167-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study generalized closed sets in the sense of N. Levine. We will consider the question of when some classes of generalized closed sets coincide. Also, some lower separation axioms weaker than T-1 are investigated. We will provide characterizations of extremally disconnected spaces and sg-submaximal spaces by using various kinds of generalized closed sets. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：37 / 46
页数：10
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