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Typical differentiability within an exceptionally small set
Published 10 Jan 2019 in math.FA and math.CA | (1901.03133v2)
Abstract: We verify the existence of a purely unrectifiable set in which the typical Lipschitz function has a large set of full differentiability points. The example arises from a construction, due to Cs\"ornyei, Preiss and Ti\v{s}er, of a universal differentiability set in which a certain Lipschitz function has only a purely unrectifiable set of differentiability points.
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