On lower and upper semi-continuous functions (Q2300108)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On lower and upper semi-continuous functions |
scientific article |
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On lower and upper semi-continuous functions (English)
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26 February 2020
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The authors study semi-continuous functions and Baire spaces in the context of generalized topological spaces. In particular, they give conditions which guarantee that a real-valued semi-continuous function is cliquish. (If \(\lambda\) and \(\mu\) are generalized topologies on a set \(X\), a real-valued function \(f\) on \(X\) is called \((\lambda, \mu)\)-cliquish if the set of all points in which \(f\) is \(\mu\)-continuous, is \(\lambda\)-dense.)
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nowhere dense
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strongly nowhere dense
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Baire space
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lower (upper) semi-continuous function
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cliquish function
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