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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 5 > No. 2


Supra Soft Separation Axioms Based on Supra beta-Open Soft Sets

PP: 121-129
A. M. Abd El-latif,
The notion of supra soft topological spaces was initiated for the first time by El-sheikh et al.[13]. In this paper, we introduce and investigate some weak soft separation axioms by using the notion of supra b -open soft sets, which is a generalization of the supra soft separation axioms mentioned in [2]. We study the relationships between these new soft separation axioms and their relationships with some other properties. As a consequence the relations of some supra soft separation axioms are shown in a diagram. We show that, some classical results in general supra topology are not true if we consider supra soft topological spaces instead. For instance, if (X,m,E) is supra soft b -T1-space need not every soft singleton xE is supra b -closed soft.

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