Simultaneous Generalizations of Regularity and Normality

Ananga Kumar Das


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.


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

Full Text: