On representations of Baire one functions as the sum of lower and upper semicontinuous functions (Q1952421)
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scientific article; zbMATH DE number 6168751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On representations of Baire one functions as the sum of lower and upper semicontinuous functions |
scientific article; zbMATH DE number 6168751 |
Statements
On representations of Baire one functions as the sum of lower and upper semicontinuous functions (English)
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30 May 2013
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The following question is studied: for a given Baire one function \(f,\) is there a lower semicontinuous function \(l\) and an upper semicontinuous function \(u\) such that \(f = l + u\) almost everywhere? In general, the answer is negative.
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semicontinuity
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Darboux property
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function of Baire class one
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0.88693386
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0.8801402
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0.87772083
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0.8775635
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0.87718624
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0.86952555
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