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Derivatives and closed sets. (English) Zbl 0543.26003
The author proves that a real function defined on a closed set S and differentiable relative to S can be extended to a function differentiable on the whole real line. This is a generalization of a result of G. Petruska and M. Laczkovich [Acta. Math. Acad. Sci. Hung. 25, 189- 212 (1974; Zbl 0279.26003)].
Reviewer: P.Kostyrko

MSC:
26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
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[1] G.Petruska and M. Laczkovich, Baire 1 functions, approximately continuous functions and derivatives,Acta Math. Acad. Sci. Hungar.,25 (1974), 189–212. · Zbl 0279.26003 · doi:10.1007/BF01901760
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