Bounded variation and porosity (Q1105715)
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scientific article; zbMATH DE number 4059744
| Language | Label | Description | Also known as |
|---|---|---|---|
| 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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0.8274599313735962
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0.808264970779419
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0.8007692694664001
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0.7866306304931641
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