∆-normal spaces and decompositions of normality

Ananga Kumar Das

India

Shri Mata Vaishno Devi University

School of Applied Physics and Mathematics

Submitted: 2013-09-30

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Accepted: 2013-09-30

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Published: 2013-09-30

DOI: https://doi.org/10.4995/agt.2009.1733
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Keywords:

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

Supporting agencies:

This research was not funded

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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