On the dimension of $s$-Nikodým sets
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914852430151680 |
|---|---|
| author | Dąbrowski, Damian Goering, Max Orponen, Tuomas |
| author_facet | Dąbrowski, Damian Goering, Max Orponen, Tuomas |
| contents | Let $s \in [0,1]$. We show that a Borel set $N \subset \mathbb{R}^{2}$ whose every point is linearly accessible by an $s$-dimensional family of lines has Hausdorff dimension at most $2 - s$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00306 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the dimension of $s$-Nikodým sets Dąbrowski, Damian Goering, Max Orponen, Tuomas Classical Analysis and ODEs 28A78, 28A80 Let $s \in [0,1]$. We show that a Borel set $N \subset \mathbb{R}^{2}$ whose every point is linearly accessible by an $s$-dimensional family of lines has Hausdorff dimension at most $2 - s$. |
| title | On the dimension of $s$-Nikodým sets |
| topic | Classical Analysis and ODEs 28A78, 28A80 |
| url | https://arxiv.org/abs/2407.00306 |