ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES

ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES

E. H. Hamouda

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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.

Keywords

Soft sets, Soft topology, Soft product, Soft separation axioms.