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http://dx.doi.org/10.14403/jcms.2019.32.2.245

NOTES ON γ-OPEN SETS DEFINED BY γ-OPERATION ON A SUPRATOPOLOGICAL SPACE  

Kim, Young Key (Department of Mathematics, MyongJi University)
Min, Won Keun (Department of Mathematics, Kangwon National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.32, no.2, 2019 , pp. 245-250 More about this Journal
Abstract
In this paper, the notion of ${\gamma}$-operation on a supratopological space is introduced. We found that the ${\gamma}$-operation induces a supratopology (topology) containing a given supratopology. We also introduce the notions of (${\gamma}$, S)-continuous function and almost ${\Gamma}$-supracompact defined by ${\gamma}$-operation on a supratopological space and investigate some properties for such notions.
Keywords
(${\gamma}$, S)-continuous; ${\Gamma}$-supraclosed graph; strongly ${\Gamma}$-supraclosed graph; ${\gamma}$-supracompact; almost ${\Gamma}$-supracompact;
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