New Generalized Classes of tau-omega

Authors

  • I Rajasekaran P M Thevar College, Usilampatti, Madurai District, Tamil Nadu, India. Pin 625 532
  • O . Ravi P M Thevar College, Usilampatti, Madurai District, Tamil Nadu, India. Pin 625 532
  • S Satheesh Kanna Bharathidasan University, Tiruchirapalli, Tamil Nadu, India. e-mail :
  • M Paranjothi Sree Sowdambiga College of Engineering, Aruppukottai, Virudhunagar District, Tamil Nadu, India.

Keywords:

$\omega$-open set, $\alpha$-$\omega$-open set, pre-$\omega$-open set, $\beta$-$\omega$-open set, b-$\omega$-open set, $\omega$-t-set, $\delta$-$\omega$-open set, semi$^\star$-$\omega$-closed set

Abstract

The purpose of this paper is to introduce a new class of sets called semi-$\omega$-open which lies between the class of $\alpha$-$\omega$-open sets and the class of $\beta$-$\omega$-open sets and to investigate the basic properties of such sets. This apart, some new generalized classes of $\tau_\omega$ are introduced and investigated on the line of research.

Author Biographies

  • I Rajasekaran, P M Thevar College, Usilampatti, Madurai District, Tamil Nadu, India. Pin 625 532
    Department of Mathematics, Assistant Professor
  • O . Ravi, P M Thevar College, Usilampatti, Madurai District, Tamil Nadu, India. Pin 625 532
    Department of Mathematics, Associate  Professor and Head
  • S Satheesh Kanna, Bharathidasan University, Tiruchirapalli, Tamil Nadu, India. e-mail :
    Department of Mathematics, Research Scholar
  • M Paranjothi, Sree Sowdambiga College of Engineering, Aruppukottai, Virudhunagar District, Tamil Nadu, India.
    Department of Mathematics, Associate Professor

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Published

2016-04-30

Issue

Vol. 9 No. 2: (April 2016)

Section

Topology

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How to Cite

New Generalized Classes of tau-omega. (2016). European Journal of Pure and Applied Mathematics, 9(2), 152-164. https://www.ejpam.com/index.php/ejpam/article/view/2494