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Bounded variation and porosity - MaRDI portal

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Bounded variation and porosity (Q1105715)

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scientific article; zbMATH DE number 4059744
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English
Bounded variation and porosity
scientific article; zbMATH DE number 4059744

    Statements

    Bounded variation and porosity (English)
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    1987
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    The author [same journal 11, 194-203 (1986; Zbl 0607.26005)] has found an example of a continuous function, the graph of which is not sigma porous. In this paper there are examples of functions of bounded variation (even absolutely continuous) which have a c-dense (continuum dense) set of points of non-porosity of the graph. The question whether functions of bounded variation must have sigma porous graphs remains open.
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    examples of functions of bounded variation
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    set of points of non-porosity of the graph
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