On separation properties in soft topological spaces

Abstract

In this paper, we explore separation axioms Ti, for i = 0, 1, 2, within the framework of soft topological spaces, utilizing the concept of soft points as defined in [16]. We define T0 and T1 in terms of the mapping τF and establish that a soft space is T1 iff the soft point is soft closed, assuming the soft topology is enriched. Furthermore, we provide a new characterization of T2 soft spaces, contributing to the understanding of separation properties in soft topology.