Between Soft ?-Openness and Soft ?0-Openness

被引:5
作者
Al Ghour, Samer [1 ]
机构
[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan
关键词
theta-open sets; omega(theta)-open sets; soft theta-open sets; soft theta-interior; soft omega(0)-sets; soft anti-locally countable; soft generated soft topological spaces; SEPARATION AXIOMS; SET;
D O I
10.3390/axioms12030311
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we define and investigate soft ?(?)-open sets as a novel type of soft set. We characterize them and demonstrate that they form a soft topology that lies strictly between the soft topologies of soft ?-open sets and soft ?(0)-open sets. Moreover, we show that soft ??-open sets and soft ?0-open sets are equivalent for soft regular spaces. Furthermore, we investigate the connections between particular types of soft sets in a given soft anti-locally countable space and the soft topological space of soft ?(?)-open sets generated by it. In addition to these, we define soft ?(?),?-sets and soft ?(?),?-sets as two classes of sets, and via these sets, we introduce two decompositions of soft ?-open sets and soft ?(?)-open sets, respectively. Finally, the relationships between these three new classes of soft sets and their analogs in general topology are examined.
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页数:13
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