Operation on Regular Spaces

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Hariwan Zikri Ibrahim


In this paper, we introduce the concept of \(R_{\gamma}\)-open sets as a strong of \(\gamma\)-open sets in a topological space \((X,\tau)\). Using this set, we introduce \(R_{\gamma}\)-\(T_0\), \(R_{\gamma}\)-\(T_{\frac{1}{2}}\), \(R_{\gamma}\)-\(T_1\), \(R_{\gamma}\)-\(T_2\), \(R_{\gamma}\)-\(T_3\), \(R_{\gamma}\)-\(T_4\), \(R_{\gamma}\)-\(D_0\), \(R_{\gamma}\)-\(D_1\) and \(R_{\gamma}\)-\(D_2\) spaces and study some of its properties. Finally we introduce \(R_{(\gamma,{\gamma^{'}})}\)-continuous mappings and give some properties of such mappings.

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Ibrahim, H. Z. (2012). Operation on Regular Spaces. Journal of Advanced Studies in Topology, 4(1), 138:149. https://doi.org/10.20454/jast.2013.521
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