Null Universal Differentiability sets

Olga Maleva

(University of Birmingham)

Event: ERC Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis

Date: Oct 09, 2013, time: 09:00

Abstract. Given a space X, we are looking for its subsets S as small as possible with the universal differentiability property, i.e. that every Lipschitz function on X has a point of differentiability in S.
We show that every finite dimensional space contains universal differentiability sets of Minkowski dimension 1. We discuss possible generalisations and show that this result is optimal.