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DENJOY-YOUNG-SAKS THEOREM FOR APPROXIMATE DERIVATIVES REVISITED
We note that the restriction of any measurable mapping $f\:R\to\R^n$ to the set of points at which it possesses a finite approximate derived number maps Lebesgue null sets to sets of zero linear measure. As a corollary we deduce an optimal version of Denjoy-Young-Saks's theorem for approximate derivatives valid up …