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arXiv · 2412.11190

A one-dimensional planar Besicovitch-type set

Iqra Altaf
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Abstract

A $\Gamma$-Besicovitch set is a set which contains a rotated copy of $\Gamma$ in every direction. Our main result is the construction of a non-trivial $1$-rectifiable set $\Gamma$ in the plane, for which there exists a 1-dimensional $\Gamma$-Besicovitch set.

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Iqra Altaf. 2024-12-15. A one-dimensional planar Besicovitch-type set. https://arxiv.org/abs/2412.11190

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