Subsets of ideal topological spaces (Q879225)
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scientific article; zbMATH DE number 5150256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subsets of ideal topological spaces |
scientific article; zbMATH DE number 5150256 |
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Subsets of ideal topological spaces (English)
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8 May 2007
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An ideal topological space is a topological space \((X,\tau)\) with an ideal \(\mathcal I\) on \(X\). The ideal generates a new closure operator \(cl^*\) on \(X\). Using the operator \(cl^*\) several classes of sets in ideal spaces are defined and studied. These sets are generalizations of known generalized open and closed sets in topological spaces.
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codense ideal
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semiopen set
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preopen set
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\(\mathcal I\)-locally closed set
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\(f_{\mathcal I}\)
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regular \(\mathcal I\)-closed set
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\(A_{\mathcal I}\) set
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