Some topological operators via grills

Subject Areas : History and biography

A. A. Nasef ¹ , A. Azzam ²

1 - Department of Physics and Engineering Mathematics , Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt
2 - Department of Mathematics, Faculty of Science, Assuit University, New Valley, Egypt

Received: 2016-03-20 Accepted : 2016-09-21 Published : 2016-09-22

Keywords: Grill topological spaces, $Phi^s_G$, $Ψ^s_G$-operators and $tau^s_G$,

Abstract :

In this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterizationand basic properties of these operators are obtained. Also, we generalize a grill topological spacesvia topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$.

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