Affiliation:
1. Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
Abstract
In this paper, we define and investigate soft ωθ-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 θ-open sets and soft ω0-open sets. Moreover, we show that soft ωθ-open sets and soft ω0-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 ωθ-open sets generated by it. In addition to these, we define soft ωθ,ω-sets and soft ωθ,θ-sets as two classes of sets, and via these sets, we introduce two decompositions of soft θ-open sets and soft ωθ-open sets, respectively. Finally, the relationships between these three new classes of soft sets and their analogs in general topology are examined.
Funder
Jordan University of Science and Technology
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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