Zahorski theorem
From Infogalactic: the planetary knowledge core
In mathematics, Zahorski's theorem is a theorem of real analysis. It states that a necessary and sufficient condition for a subset of the real line to be the set of points of non-differentiability of a continuous real-valued function, is that it be the union of a Gδ set and a set of zero measure.
This result was proved by Zygmunt Zahorski in 1939 and first published in 1941.
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