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On \(P\)-closedness in a bitopological space - MaRDI portal

On \(P\)-closedness in a bitopological space (Q934514)

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scientific article; zbMATH DE number 5305510
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On \(P\)-closedness in a bitopological space
scientific article; zbMATH DE number 5305510

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    On \(P\)-closedness in a bitopological space (English)
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    29 July 2008
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    The following are some of the results contained in this paper: {\parindent=16mm \begin{itemize}\item[Result] In an \(ij\)-\(P\)-closed space \(X\), an \(ij\)-\(p(\theta)\)-closed set is \(ij\)-\(P\)-closed relative to \(X\). \item[Result] Let \(X\) be a pairwise Urysohn space and \(A\subset X\) be \(ij\)-\(P\)-closed relative to \(X\). Then \(A\) is \(ji\)-\(p(\theta)\)-closed. \end{itemize}} Characterization of an \(ij\)-\(P\)-closed set \(A\), relative to \(X\), is given in terms of a maximal filter-base, net, ultranet and so on.
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    \(p(\theta)\)-open set
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    \(P\)-closedness
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    bitopological space
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