Between Preopen and Open Sets in Topological Spaces

被引：0
|
作者：
Darwesh, Halgwrd M. [1 ]
机构：
[1] Univ Sulaimani, Coll Sci, Dept Math, Sulaimani, Kurdistan Regio, Iraq
来源：
THAI JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 01期
关键词：
omega-open set; preopen set; omega(p)-open set; almost continuous functions; omega-almost continuous functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present paper is to introduce the class of omega(p)-open sets which is strictly placed between the class of all preopen and the class of all open subsets of $X$. Relationships with some other type of sets are given. Furthermore, we introduce a new type of continuity termed the class of omega-almost continuous functions which is lies strictly between the class of all continuous and the class of all almost-continuous functions. New decompositions of continuity are obtained.
引用
收藏
页码：143 / 155
页数：13
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