THE αψ-CLOSURE AND THE αψ-KERNEL VIA αψ-OPEN SETS

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Young Key Kim
Devi Ramaswamy

Abstract





In this paper, we introduce the concept of weakly ultra-αψ-separation of two sets in a topological space using αψopen sets. The αψ-closure and the αψ-kernel are defined in terms of this weakly ultra-αψ-separation. We also investigate some of the properties of the αψ-kernel and the αψ-closure.





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