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Commun. Korean Math. Soc. 2010; 25(4): 623-628
Printed December 1, 2010
https://doi.org/10.4134/CKMS.2010.25.4.623
Copyright © The Korean Mathematical Society.
On some new maximal and minimal sets via {$\theta$}-open sets
Miguel Caldas, Saeid Jafari, and Seithuti P. Moshokoa
Rua M\'{a}rio Santos Braga, s/n, Oester Farimagsgade 5, Building 26, P.O. Box 392
Nakaoka and Oda (\cite{CAL1} and \cite{DUN1}) 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.
Keywords: topological space, maximal open sets, minimal closed sets, $ \theta $-open sets, $\theta$-semi maximal open sets
MSC numbers: Primary 54B05, 54C08; Secondary 54D05
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