Soft G*β-Separation Axioms in Soft Topological Spaces

Abstract

Soft set theory is a newly emerging tool to deal with uncertain problems and has been studied by researchers in theory and practice. The concept of soft topological space is a very recently developed area having many research scopes. Soft sets have been studied in proximity spaces, multicriteria decision-making problems, medical problems, mobile cloud computing networks, defense learning system, approximate reasoning etc. In 2020 Punitha Tharani and H. Sujitha introduced a new class of soft generalized star β-closed (Sft*β-closed) sets and Sft*β-open sets in soft topological spaces. They investigated some basic properties of Sft* β-closed sets and Sft*β-open sets. They also studied the relationship between this type of closed sets and other existing closed sets in soft topological spaces. The aim of this paper is to introduce some soft separation axioms called Sftg*β-R0 space, Sftg* β-R1 space, Sftg*β-T0 space, Sftg*β-T1 space, Sftg*β-T2 space, Sftg* β-regular space and Sftg*β-normal space in soft topological spaces. We investigate several properties and characterizations of this spaces in soft topological spaces.