The further unified theory for modifications of \(g\)-closed sets (Q1032578)
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scientific article; zbMATH DE number 5620604
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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0.9855864
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0.9389892
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0.8863608
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0.8762919
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0.8751146
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