Minimal \(\tau^*\)-\(g\)-Open Sets and Maximal \(\tau^*\)-\(g\)-Closed Sets in Topological Spaces

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S. Rajakumar
A. Vadivel
K. Vairamanickam

Abstract

In this paper, a new class of sets called minimal \(\tau^*\)-\(g\)-open sets and maximal \(\tau^*\)-\(g\)-closed sets in topological spaces are introduced. They are the subclasses of \(\tau^*\)-\(g\)-open sets and \(\tau^*\)-\(g\)-closed sets respectively. Maximal \(\tau^*\)-\(g\)-open sets and minimal \(\tau^*\)-\(g\)-closed sets in topological spaces are introduced and proved that the complement of minimal \(\tau^*\)-\(g\)-open set is maximal \(\tau^*\)-\(g\)-closed set. It is also observed that the complement of maximal \(\tau^*\)-\(g\)-open set is minimal \(\tau^*\)-\(g\)-closed set.

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How to Cite
Rajakumar, S., Vadivel, A., & Vairamanickam, K. (2012). Minimal \(\tau^*\)-\(g\)-Open Sets and Maximal \(\tau^*\)-\(g\)-Closed Sets in Topological Spaces. Journal of Advanced Studies in Topology, 3(3), 48:54. https://doi.org/10.20454/jast.2012.195
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Original Articles

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