First return approachability (Q1916843)
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scientific article; zbMATH DE number 902560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First return approachability |
scientific article; zbMATH DE number 902560 |
Statements
First return approachability (English)
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14 July 1996
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It is proved that \(f : [0,1] \to R\) is first universally return approachable iff it is Baire 1 and its graph has no isolated points. Moreover, if \((x_n)\) is a trajectory then the set of points at which \(f\) is first return approachable with respect to \((x_n)\) but not first return continuous with respect to \((x_n)\) is a \(\sigma\)-porous set.
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first return continuity
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first return recoverability
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first return approachable function
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