On some new maximal and minimal sets via θ-open sets.
Caldas, Miguel ; Jafari, Saeid ; Moshokoa, Seithuti P.
Caldas, Miguel
Jafari, Saeid
Moshokoa, Seithuti P.
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Abstract
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 θ-open sets, minimal θ-closed sets, θ-semi maximal open and θ-semi minimal closed and investigate some of their fundamental properties.
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Date
2006-04-06
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Publisher
The Korean Mathematical Society
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Keywords
Topological space, Maximal open sets, Minimal closed sets, θ-open sets, θ-semi maximal open sets