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

Downloads

Published

2011-01-30

Issue

Vol. 4 No. 1: (January 2011)

Section

Topology

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

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