On $\beta$-normal Spaces


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Authors

  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India
  • I. Rajasekaran Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India
  • S. Murugesan Department of Mathematics, Sri S. Ramasamy Naidu Memorial College, Sattur, Tamil Nadu, India
  • A. Pandi Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India

Keywords:

$p$-normal space, $s$-normal space, $\beta$-normal space, $g\beta$-closed function, $\beta$-$g\beta$-closed function, separation axioms

Abstract

The aim of this paper is to study the class of $\beta$-normal spaces. The relationships among $s$-normal spaces, $p$-normal spaces and $\beta$-normal spaces are investigated. Moreover, we study the forms of generalized $\beta$-closed functions. We obtain characterizations of $\beta$-normal spaces, properties of the forms of generalized $\beta$-closed functions and preservation theorems.

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Published

15-06-2015

How to Cite

O. Ravi, I. Rajasekaran, S. Murugesan, & A. Pandi. (2015). On $\beta$-normal Spaces. International Journal of Mathematics And Its Applications, 3(2), 35–44. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/418

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Research Article

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