Decompositions of $\mathcal{I}$-${\pi g}$-continuity


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Authors

  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai Dt, Tamil Nadu, India
  • M. Meharin School of Youth Empowerment, Madurai Kamaraj University, Madurai, Tamil Nadu, India
  • K. M. Dharmalingam Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India

Keywords:

$\mathcal{I}$-$\pi g$$\alpha$-continuity, $\mathcal{I}$-$\pi gp$-continuity, $\mathcal{I}$-$E_r$-continuity, $\mathcal{I}$-$E_r^*$-continuity, $\mathcal{I}$-$\pi g$-continuity

Abstract

In this paper, we introduce the notions of $\mathcal{I}$-$\pi$-open sets, $\mathcal{I}$-$\pi g$-open sets, $\mathcal{I}$-$\pi g$$\alpha$-open sets, $\mathcal{I}$-$\pi gp$-open sets, $\mathcal{I}$-$E_r$-sets and $\mathcal{I}$-$E_r^*$-sets in ideal topological spaces and investigate some of their properties and using these notions we obtain three decompositions of $\mathcal{I}$-$\pi g$-continuity.

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Published

15-03-2015

How to Cite

O. Ravi, M. Meharin, & K. M. Dharmalingam. (2015). Decompositions of $\mathcal{I}$-${\pi g}$-continuity. International Journal of Mathematics And Its Applications, 3(1), 119–125. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/410

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Section

Research Article

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