Simultaneous Generalizations of Regularity and Normality

Ananga Kumar Das

Abstract

A generalization of regularity called $\theta$-regularity was
earlier introduced to decompose normality and also utilised to
factorize regularity. Every normal space need not be regular, but
every normal space is $\theta$-regular. In this paper three
variants of $\theta$-regular spaces is introduced and studied.

Keywords

$\theta$-open sets, $\theta$-closed sets, almost normal space, (weakly)(functionally) $\theta$-normal space, (weakly) $\theta$-regular, point (weakly) $\theta$-regular spaces

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