Ceder's conjecture on Baire 1 selections is not true (Q1067030)
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scientific article; zbMATH DE number 3927265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ceder's conjecture on Baire 1 selections is not true |
scientific article; zbMATH DE number 3927265 |
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Ceder's conjecture on Baire 1 selections is not true (English)
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1984
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The author gives an example to show that if \(\{F_ n\}\) is a sequence of multi-functions from a real interval into the non-void closed convex subsets of R which converges to F in terms of endpoint convergence, then F need not have a Baire 1 selection even though each \(F_ n\) has a continuous selection.
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counterexample to Ceder's conjecture
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sequence of multi-functions
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Baire 1 selection
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continuous selection
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0.7591170072555542
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