Finite representation of continuous functions, Nina Bary's wrinkled functions and Foran's condition M (Q752870)
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scientific article; zbMATH DE number 4179693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite representation of continuous functions, Nina Bary's wrinkled functions and Foran's condition M |
scientific article; zbMATH DE number 4179693 |
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Finite representation of continuous functions, Nina Bary's wrinkled functions and Foran's condition M (English)
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1990
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In this paper a characterization of the wrinkled functions is given and it is shown that between Foran's condition M [\textit{J. A. Foran}, Real Anal. Exch. 5, 82-91 (1980; Zbl 0441.26010)] and these functions there is a very close connection. N. Bary's results on wrinkled functions are improved and a construction of a wrinkled function which is approximately derivable at no point of [0,1] and for which each level set is perfect, is presented.
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Banach's condition S
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wrinkled functions
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Foran's condition M
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0.8392506
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0.8388424
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0.8355898
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0.83232474
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0.83164555
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