On βκ-normal spaces

Author
Singh, Sumit

Rana, Manoj Kumar

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https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4277
10.22199/issn.0717-6279-4277
Abstract
A topological space X is called βκ-normal if for every pair of disjoint regularly closed sets A and B, there exist disjoint open sets U and V of X such that  = A,  = B and  ∩  = ∅. In this paper, we investigated a weaker form of normality called βκ-normality which is simultaneous generalization of normality, κ-normality and almost β-normality. Some new decomposition of normality is obtained in terms weakly β-normal spaces.
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