Unilateral \(\mathbb{I}\)-approximate limits of real functions (Q1029980)
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scientific article; zbMATH DE number 5578217
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unilateral \(\mathbb{I}\)-approximate limits of real functions |
scientific article; zbMATH DE number 5578217 |
Statements
Unilateral \(\mathbb{I}\)-approximate limits of real functions (English)
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14 July 2009
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The author considers the sets of generalized discontinuity of real functions with respect to local systems fulfilling the intersection condition. He primarily gives a sufficient condition for countability of such a set which is then used to prove its \(\mathbb I\)-density analogue.
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local system
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intersection condition
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\(I\)-approximate continuity
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\(I\)-density topology
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0.8779095
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0.87001204
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0.8690284
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