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Continuous functions need not have \(\sigma\)-porous graphs - MaRDI portal

Continuous functions need not have \(\sigma\)-porous graphs (Q1085288)

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scientific article; zbMATH DE number 3981465
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English
Continuous functions need not have \(\sigma\)-porous graphs
scientific article; zbMATH DE number 3981465

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    Continuous functions need not have \(\sigma\)-porous graphs (English)
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    1986
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    The author gives an example of a continuous function \(f:[0,1]\to R\) whose graph is a non-\(\sigma\)-porous subset of the plane and has the Hausdorff dimension 2.
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    \(\sigma \)-porous graphs
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    continuous functions
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    non-\(\sigma \)-porous subset
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