Some Results on Maximal Open Sets

被引：0
|
作者：
Roohi, M. [1 ]
Delavar, M. Rostamian [2 ]
Mohammadzadeh, S. A. [3 ]
机构：
[1] Golestan Univ, Fac Sci, Dept Math, Gorgan, Iran
[2] Islamic Azad Univ, Sari Branch, Young Researchers Club, Sari, Iran
[3] Islamic Azad Univ Babol Branch, Babol Sar, Iran
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2012年 / 3卷 / 02期
关键词：
Small Topology; Minimal Structure; Maximal Open Set; Cofinite Subset; Generated Topology;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the notion of maximal m-open set is introduced and its properties are investigated. Some results about existence of maximal m-open sets are given. Moreover, the relations between maximal m-open sets in an m-space and maximal open sets in the corresponding generated topology are considered. Our results are supported by examples and counterexamples.
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页码：59 / 66
页数：8
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