June 29, 2024Open Access

On the dimension of s-Nikod\'ym sets

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Resumen

Let s 0, 1. We show that a Borel set N R^2 whose every point is linearly accessible by an s-dimensional family of lines has Hausdorff dimension at most 2 - s.

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Cite This Study

Dąbrowski et al. (Sat,) studied this question.

synapsesocial.com/papers/68e62acbb6db6435875bd4bf https://doi.org/https://doi.org/10.48550/arxiv.2407.00306

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