Weak Quasicircles Have Lipschitz Dimension 1
Metric Geometry
2020-06-29 v2
Abstract
We prove that the Lipschitz dimension of any bounded turning Jordan circle or arc is equal to 1. In particular, the Lipschitz dimension of any weak quasicircle or arc is equal to 1.
Cite
@article{arxiv.2006.06847,
title = {Weak Quasicircles Have Lipschitz Dimension 1},
author = {David M. Freeman},
journal= {arXiv preprint arXiv:2006.06847},
year = {2020}
}
Comments
15 pages. This version revised for clarity, brevity, and to fix a mistake in the original proof of Lemma 4.2