On Lebesgue null sets
Classical Analysis and ODEs
2019-09-24 v2
Abstract
Letting A be a Borel subset of n dimensional Euclidean space, and W(x) be an m dimensional affine subspace containing x and varying in a Lipschitz way according to x, we establish that A is Lebesgue null if and only if has m dimensional Hausdorff measure vanishing for almost every x.
Keywords
Cite
@article{arxiv.1904.12276,
title = {On Lebesgue null sets},
author = {Thierry De Pauw},
journal= {arXiv preprint arXiv:1904.12276},
year = {2019}
}