• Title/Summary/Keyword: $\theta$-semi maximal open sets

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ON SOME NEW MAXIMAL AND MINIMAL SETS VIA θ-OPEN SETS

  • Caldas, Miguel;Jafari, Saeid;Moshokoa, Seithuti P.
    • Communications of the Korean Mathematical Society
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    • v.25 no.4
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    • pp.623-628
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    • 2010
  • Nakaoka and Oda ([1] and [2]) introduced the notion of maximal open sets and minimal closed sets in topological spaces. In this paper, we introduce new classes of sets called maximal $\theta$-open sets, minimal $\theta$-closed sets, $\theta$-semi maximal open and $\theta$-semi minimal closed and investigate some of their fundamental properties.