Simultaneous generalizations of regularity and normality

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. 2000 Mathematics Subject Classifications: 54D10, 54D15