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Study on a problem about \(bDL\) functions - MaRDI portal

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Study on a problem about \(bDL\) functions (Q1318863)

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scientific article; zbMATH DE number 541472
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English
Study on a problem about \(bDL\) functions
scientific article; zbMATH DE number 541472

    Statements

    Study on a problem about \(bDL\) functions (English)
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    26 April 1994
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    It is proven that there exist \(2^ c\) Darboux Lebesgue measurable functions \(f: [0,1]\to [0,1]\) such that \(\mathbb{R}\) is the set of derived numbers of \(f\) on the left and right at any point \(x\in (0,1)\), on the right at \(0\), and on the left at \(1\).
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    Darboux property
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    cardinality
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    Darboux Lebesgue measurable functions
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    set of derived numbers
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