Properties of \(\theta\)-irreducible spaces (Q1921960)
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scientific article; zbMATH DE number 923734
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of \(\theta\)-irreducible spaces |
scientific article; zbMATH DE number 923734 |
Statements
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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