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http://dx.doi.org/10.5666/KMJ.2014.54.2.173

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)
Publication Information
Kyungpook Mathematical Journal / v.54, no.2, 2014 , pp. 173-188 More about this Journal
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.
Keywords
${\gamma}$-closed(open); ${\gamma}$-closure; ${\gamma}$-interior; ${\gamma}^*$-pre-closed(open); ${\gamma}^*$-pre-closure; ${\gamma}^*$-pre-interior; ${\gamma}^*$-semi-pre-closed(open); ${\gamma}^*$-semi-pre-closure; ${\gamma}^*$-semi-pre-interior; ${\tau}_{\gamma}-p^*$-closed(open); ${\tau}_{\gamma}-p^*$-closure; ${\tau}_{\gamma}-p^*$-interior;
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