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arXiv · 1904.12276

On Lebesgue null sets

Thierry De Pauw
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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 $A \cap W(x)$ has m dimensional Hausdorff measure vanishing for almost every x.

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Thierry De Pauw. 2019-04-28. On Lebesgue null sets. https://arxiv.org/abs/1904.12276

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