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Supra Soft Separation Axioms Based on Supra beta-Open Soft Sets |
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PP: 121-129 |
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doi:10.18576/msl/050202
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Author(s) |
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A. M. Abd El-latif,
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Abstract |
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| 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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