On Convexity, Mid-Point Convexity and Hausdorff Measures of Sets
Classical Analysis and ODEs
2019-12-02 v2
Abstract
We give a complete characterization of the size of Borel sets that are mid-point convex but not (essentially) convex, in terms of their Hausdorff dimensions and Hausdorff measures.
Cite
@article{arxiv.1911.10032,
title = {On Convexity, Mid-Point Convexity and Hausdorff Measures of Sets},
author = {Shaoming Guo and Tian Lan and Yakun Xi},
journal= {arXiv preprint arXiv:1911.10032},
year = {2019}
}
Comments
15 pages