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Bounded variation and porosity. (English) Zbl 0649.26008

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.
Reviewer: W.Wilczyński

MSC:

26A45 Functions of bounded variation, generalizations
26A46 Absolutely continuous real functions in one variable

Citations:

Zbl 0607.26005
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