∆-normal spaces and decompositions of normality

Ananga Kumar Das

Abstract

Generalizations of normality, called (weakly) (functionally) ∆-normal spaces are introduced and their interrelation with some existing notions of normality is studied. ∆-regular spaces are introduced which is a generalization of seminormal, semiregular and θ-regular space. This leads to decompositions of normality in terms of ∆-regularity, seminormality and variants of ∆-normality.

Keywords

δ-open sets; δ-closed sets (Weakly) (functionally) θ-normal spaces; (weakly) (functionally) ∆-normal spaces; θ-regular spaces; seminormalspaces

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Acta Mathematica Hungarica  vol: 160  issue: 2  first page: 468  year: 2020  
doi: 10.1007/s10474-019-01006-4



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