2024/06/29 by Damian Dąbrowski, Max Goering, Dąbrowski, Damian +3
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Topology and Set Theory #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2407.00306
Let s ∈ [0,1]. We show that a Borel set N ⊂ ℝ2 whose every point is linearly accessible by an s-dimensional family of lines has Hausdorff dimension at most 2 - s.