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arXiv · 1901.03133

Typical differentiability within an exceptionally small set

Michael Dymond
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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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Michael Dymond. 2019-01-10. Typical differentiability within an exceptionally small set. https://arxiv.org/abs/1901.03133

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