Porosity and continuous, nowhere differentiable functions (Q1261231)
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scientific article; zbMATH DE number 404392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Porosity and continuous, nowhere differentiable functions |
scientific article; zbMATH DE number 404392 |
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Porosity and continuous, nowhere differentiable functions (English)
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31 August 1993
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The author shows that, in the Banach space \(C[0,1]\) of all continuous functions on \([0,1]\), nowhere differentiable functions are typical in the sense of porosity (precisely, the complement of sets of functions which have at no point finite one-sided derivatives is \(\sigma\)-porous in \(C[0,1]\)).
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porous set
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\(p\)-typical function
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Banach space
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continuous functions
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nowhere differentiable functions
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