A one-dimensional planar Besicovitch-type set
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909430004580352 |
|---|---|
| author | Altaf, Iqra |
| author_facet | Altaf, Iqra |
| contents | A $Γ$-Besicovitch set is a set which contains a rotated copy of $Γ$ in every direction. Our main result is the construction of a non-trivial $1$-rectifiable set $Γ$ in the plane, for which there exists a 1-dimensional $Γ$-Besicovitch set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11190 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A one-dimensional planar Besicovitch-type set Altaf, Iqra Classical Analysis and ODEs A $Γ$-Besicovitch set is a set which contains a rotated copy of $Γ$ in every direction. Our main result is the construction of a non-trivial $1$-rectifiable set $Γ$ in the plane, for which there exists a 1-dimensional $Γ$-Besicovitch set. |
| title | A one-dimensional planar Besicovitch-type set |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2412.11190 |