Simultaneous Generalizations of Regularity and Normality

Authors

  • Ananga Kumar Das School of Mathematics Shri Mata Vaishno Devi University Kakriyal, Katra-182320 Jammu and Kashmir INDIA

Keywords:

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

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.

Author Biography

  • Ananga Kumar Das, School of Mathematics Shri Mata Vaishno Devi University Kakriyal, Katra-182320 Jammu and Kashmir INDIA

    Assistant Professor

    School of Mathematics

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Published

2011-01-30

Issue

Section

Topology

How to Cite

Simultaneous Generalizations of Regularity and Normality. (2011). European Journal of Pure and Applied Mathematics, 4(1), 34-41. https://ejpam.com/index.php/ejpam/article/view/678

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