On Foran's property (M) and its relation to Lusin's property (N) (Q1073198)
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scientific article; zbMATH DE number 3944181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Foran's property (M) and its relation to Lusin's property (N) |
scientific article; zbMATH DE number 3944181 |
Statements
On Foran's property (M) and its relation to Lusin's property (N) (English)
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1984
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\textit{J. Foran} [Real Anal. Exch 5, 82--91 (1980; Zbl 0441.26010)] constructed a function \(F\) on \([0,1]\) which does not satisfy the Luzin's condition (N), and which is absolutely continuous on every set \(E\), on which it is of bounded variation. In the paper under review another example is given.
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Foran's property (M)
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Luzin's condition (N)
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0.8720598816871643
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0.8211912512779236
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0.8040737509727478
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0.7907167673110962
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