## Continuous functions need not have $$\sigma$$-porous graphs.(English)Zbl 0607.26005

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.
Reviewer: J.S.Lipiński

### MSC:

 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable 28A05 Classes of sets (Borel fields, $$\sigma$$-rings, etc.), measurable sets, Suslin sets, analytic sets 28A75 Length, area, volume, other geometric measure theory