$\mathcal{I}_{m\omega}$-closed sets


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Authors

  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India
  • K. Indirani Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India
  • A. R. Thilagavathi Department of Mathematics, Sri G. V. G Visalatkshi College for Women, Udumalpet, Thirupur District, Tamil Nadu, India

Keywords:

$\mathcal{I}_\omega$-closed set, $\mathcal{I}_{m\omega}$-closed set, m-$\omega$-closed set, m-$\omega$-open set

Abstract

In this paper we introduce the notion of $\mathcal{I}_{m\omega}$-closed sets. In Sections 3 and 4, we obtain some basic properties and characterizations of $\mathcal{I}_{m\omega}$-closed sets. In the last section, we define several new subsets in ideal topological spaces which lie between $\star$-closed sets and $\mathcal{I}_\omega$-closed sets.

 

 

Author Biographies

O. Ravi, Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India

 

 

K. Indirani, Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India

 

 

A. R. Thilagavathi, Department of Mathematics, Sri G. V. G Visalatkshi College for Women, Udumalpet, Thirupur District, Tamil Nadu, India

 

 

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Published

01-05-2016

How to Cite

O. Ravi, K. Indirani, & A. R. Thilagavathi. (2016). $\mathcal{I}_{m\omega}$-closed sets. International Journal of Mathematics And Its Applications, 4(2 - A), 51–57. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1005

Issue

Vol. 4 No. 2 - A (2016)

Section

Research Article

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