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Properties of \(\theta\)-irreducible spaces - MaRDI portal

Properties of \(\theta\)-irreducible spaces (Q1921960)

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scientific article; zbMATH DE number 923734
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Properties of \(\theta\)-irreducible spaces
scientific article; zbMATH DE number 923734

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    Properties of \(\theta\)-irreducible spaces (English)
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    25 March 1997
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    A space \(X\) is hyperconnected (\(\theta\)-irreducible) if every pair of non-empty open (regular closed, respectively) subsets of \(X\) has a non-empty intersection. The authors obtain characterizations of these properties and prove results concerning their preservation under certain non-continuous functions.
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    hyperconnected space
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    \(\theta\)-irreducible space
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