∆-normal spaces and decompositions of normality

A.K. 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.

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1. On relative β-normality
A. K. Das, S. S. Raina
Acta Mathematica Hungarica  vol: 160  issue: 2  first page: 468  year: 2020  
doi: 10.1007/s10474-019-01006-4



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt