Generalized Open Sets vis-a-vis $\Delta$-Sets

Abstract

This paper concerns about the splitting of the collections of generalized open sets in topological spaces and their decompositions. Several characterizations of these sets are also discussed in this paper. Further, this paper also introduce a new type of normal space and its characterizations. Several properties of this space are discussed.

Keywords

• $\Delta$-operator,$\Delta$-sets,Hayashi-Samuel space,$\Psi-*-$normal

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