A compact universal differentiability set with Hausdorff dimension one

2010/04/13 by Doré, Michael, Maleva, Olga
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1004.2151

Abstract

We give a short proof that any non-zero Euclidean space has a compact subset of Hausdorff dimension one that contains a differentiability point of every real-valued Lipschitz function defined on the space.

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