Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On a Class of γ*-pre-open Sets in Topological Spaces

  • Krishnan, G. Sai Sundara (Department of Applied Mathematics and Computational Sciences, PSG College of Technology) ;
  • Saravanakumar, D. (Department of Mathematics, SNS College of Engineering) ;
  • Ganster, M. (Graz University of Technology) ;
  • Ganster, M. (Department of Mathematics, Bharathiar University)
  • Received : 2011.04.06
  • Accepted : 2012.09.11
  • Published : 2014.06.23
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Abstract

In this paper, a new class of open sets, namely ${\gamma}^*$-pre-open sets was introduced and its basic properties were studied. Moreover a new type of topology ${\tau}_{{\gamma}p^*}$ was generated using ${\gamma}^*$-pre-open sets and characterized the resultant topological space (X, ${\tau}_{{\gamma}p^*}$) as ${\gamma}^*$-pre-$T_{\frac{1}{2}}$ space.

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References

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