On the first and the fifth class of Zahorski (Q1061878)
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scientific article; zbMATH DE number 3910686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the first and the fifth class of Zahorski |
scientific article; zbMATH DE number 3910686 |
Statements
On the first and the fifth class of Zahorski (English)
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1984
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Le Théorème 1 de cet article caractérise tous les sous-familles S de la classe de Zahorski \(M_ 1\) pour lesquelles il existe une homéomorphie \(h: R\to R\) telle que \(\{h(E): E\in S\}\subset M_ 5.\) En appliquant ce théorème on prouve que certains lemmes de Zahorski et certains théorèmes sur l'extension de dérivées de Lukeš et de Petruska-Laczkovich restent vrais pour les fonctions de classe \({\mathcal M}_ 1\) de Zahorski.
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Darboux-Baire 1 functions
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approximately continuous functions
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homeomorphisms
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Zahorski classes
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semicontinuous functions
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extension of derivatives
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0.7895752787590027
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0.7493453621864319
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0.7402164340019226
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