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On the topology τ R of primal topological spaces
AIMS Mathematics 2024, 9(7): 17171-17183
Published: 15 July 2024
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The main purpose of this paper is to introduce and study two new operators ( ) R and c l R ( ) via primal, which is a new notion. We show that the operator c l R ( ) is a Kuratowski closure operator, while the operator ( ) R is not. In addition, we prove that the topology on X, shown as τ R , obtained by means of the operator c l R ( ) , is finer than τ δ , where τ δ is the family of δ-open subsets of a space ( X , τ ) . Moreover, we not only obtain a base for the topology τ R but also prove many fundamental results concerning this new structure. Furthermore, we provide many counterexamples related to our results.

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