• Corpus ID: 208248175

# On Convexity, Mid-Point Convexity and Hausdorff Measures of Sets.

@article{Guo2019OnCM,
title={On Convexity, Mid-Point Convexity and Hausdorff Measures of Sets.},
author={Shaoming Guo and Tian Lan and Yakun Xi},
journal={arXiv: Classical Analysis and ODEs},
year={2019}
}
• Published 22 November 2019
• Mathematics
• arXiv: Classical Analysis and ODEs
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.

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