Ri-separation axioms via supra soft topological spaces

S. Saleh, Tareq M. Al-Shami, Laith R. Flaih, Murad Arar, Radwan Abu-Gdairi

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

The aim of this study is to introduce and investigate two new classes of separation axioms called supra soft R0 and supra soft R1. They are defined in the spaces of supra soft topologies by using the notions of supra soft open sets and supra soft closure operator. We discuss the basic properties and characterizations of them. We also study the relationships between these classes and some other supra soft separation axioms with many results and explanative examples. Moreover, the connections between the properties of these classes and those in some generated soft topologies are presented. Finally, we show that these classes are preserved under subspaces, which means they are supra soft topological properties.

Original languageEnglish
Pages (from-to)263-274
Number of pages12
JournalJournal of Mathematics and Computer Science
Volume32
Issue number3
DOIs
StatePublished - 2024

Keywords

  • soft point
  • Soft set
  • SS-kernel
  • supra soft open set
  • supra soft R and supra soft R spaces
  • supra soft topology

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