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

页码：143 / 155

页数：13

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