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The further unified theory for modifications of \(g\)-closed sets - MaRDI portal

The further unified theory for modifications of \(g\)-closed sets (Q1032578)

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scientific article; zbMATH DE number 5620604
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The further unified theory for modifications of \(g\)-closed sets
scientific article; zbMATH DE number 5620604

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    The further unified theory for modifications of \(g\)-closed sets (English)
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    26 October 2009
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    This paper aims at a unified theory of \(g\)-cosed sets. A typical result is the following Theorem: Let \(m_X\) and \(n_X\) be minimal structures on a nonempty set \(X\). Let \(n_X\) have property \({\mathcal B}\). A bi-\(m\)-space \((X,m_X,n_X0\) is \(mn\)-\(T_{{1\over 2}}\) if and only if every \(mng\)-closed set of \(X\) is \(n_X\)-closed. The notions of \((m,n)\)-normal spaces and new forms of \(mng\)-closed sets are also introduced.
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    \(m\)-structure
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    \(g\)-closed set
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    \(mng\)-closed set
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    \((m,n)\)-normal spaces
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