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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
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