$\tilde{g}$-closed Sets in Ideal Topological Spaces


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Authors

  • R. Asokan School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India
  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai, Tamil Nadu, India
  • I. Rajasekaran Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai, Tamil Nadu, India
  • R. Sathiyapriya Department of Mathematics, Dhanalakshmi Srinivasan Institute of Technology, Tiruchirappalli, Tamil Nadu, India

Keywords:

$\tilde{g}$-closed set, $\mathcal{I}_{\tilde{g}}$-closed set, $\mathcal{I}$-compact space.

Abstract

The notion of $\tilde{g}$-closed sets is introduced in ideal topological spaces. Characterizations and properties of $\mathcal{I}_{\tilde{g}}$-closed sets and $\mathcal{I}_{\tilde{g}}$-open sets are given. A characterization of normal spaces is given in terms of $\mathcal{I}_{\tilde{g}}$-open sets. Also, it is established that an $\mathcal{I}_{\tilde{g}}$-closed subset of an $\mathcal{I}$-compact space is $\mathcal{I}$-compact.

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Published

15-11-2015

How to Cite

R. Asokan, O. Ravi, I. Rajasekaran, & R. Sathiyapriya. (2015). $\tilde{g}$-closed Sets in Ideal Topological Spaces. International Journal of Mathematics And Its Applications, 3(3 - D), 31–41. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/474

Issue

Vol. 3 No. 3 - D (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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