ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES

In this paper, we explore separation axioms $T_{i},$ for $ i=0,1,2, $ within the framework of soft topological spaces, utilizing the concept of soft points as defined in [16]. We define $T_{0}$ and $ T_{1}$ in terms of the mapping $\tau_{\mathcal{F}}$ and establish that a soft space is $T_{1}$ iff the soft point is soft closed, assuming the soft topology is enriched. Furthermore, we provide a new characterization of $ T_{2}$ soft spaces, contributing to the understanding of separation properties in soft topology.