On Soft Preopen Sets and Soft Pre Separation Axioms

Abstract

Arockiarani and Lancy [7], defined soft pre-open (closed) sets on soft topology. In this paper, we are continue investigating the properties of soft pre-open (closed) sets and define soft preclosure and soft preinterior in soft topological spaces. We are also introduce and research basic properties of the concepts of soft pre-regular spaces, soft P₃-spaces, soft pre-normal spaces and soft P₄-spaces in soft topological spaces, which are basic for further research on soft topology and will fortify the footing of the theory of soft topological space. 

Keywords

• Soft pre-open sets
• soft preinterior
• soft preclosure
• soft pre-T_{i}-separation axioms.

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