$\star$-$A_{\mathcal{I}}^\star$-sets and Decompositions of $\star$-$A_{\mathcal{I}}^\star$-continuity


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Authors

  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India
  • G. Selvi Department of Mathematics, Vickram College of Engineering, Enathi, Sivagangai District, Tamil Nadu, India
  • S. Murugesan Department of Mathematics, Sri S. Ramasamy Naidu Memorial College, Sattur, Tamil Nadu, India
  • S. Vijaya Department of Mathematics, Sethu Institute of Technology, Kariapatti, Virudhunagar District, Tamil Nadu, India

Keywords:

$\star$-$A_{\mathcal{I}}^\star$-set, $\star$-C$_{\mathcal{I}}$-set, C$_{\mathcal{I}}^\star$-set, pre-$\mathcal{I}$-regular set, ideal topological space, decomposition

Abstract

The aim of this paper is to introduce and study the notions of $\star$-$A_{\mathcal{I}}^\star$-sets and $\star$-C$_{\mathcal{I}}$-sets in ideal topological spaces. Properties of $\star$-$A_{\mathcal{I}}^\star$-sets and $\star$-C$_{\mathcal{I}}$-sets are investigated. Moreover, decompositions of $\star$-$A_{\mathcal{I}}^\star$-continuous functions via $\star$-$A_{\mathcal{I}}^\star$-sets and $\star$-C$_{\mathcal{I}}$-sets in ideal topological spaces are established.

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Published

15-06-2015

How to Cite

O. Ravi, G. Selvi, S. Murugesan, & S. Vijaya. (2015). $\star$-$A_{\mathcal{I}}^\star$-sets and Decompositions of $\star$-$A_{\mathcal{I}}^\star$-continuity. International Journal of Mathematics And Its Applications, 3(2), 115–120. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/427

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Section

Research Article

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