[Banach] Abstract of a paper by Michael Dymond and Olga Maleva

This is an announcement for the paper "Differentiability inside sets with upper Minkowski dimension one" by Michael Dymond and Olga Maleva.

Abstract: We show that every finite-dimensional Euclidean space contains compact universal differentiability sets of upper Minkowski dimension one. In other words, there are compact sets $S$ of upper Minkowski dimension one such that every Lipschitz function defined on the whole space is differentiable inside $S$. Such sets are constructed explicitly.

Archive classification: math.FA

Mathematics Subject Classification: 46T20

Remarks: 23 pages

Submitted from: o.maleva@bham.ac.uk

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1305.3154

or

http://arXiv.org/abs/1305.3154