Pseudotangents to Lipschitz curves
Metric Geometry
2025-11-14 v1
Abstract
In this paper, we extend the result of arXiv:2409.13662 by showing that the set on which every pseudotangent is obtained on a Lipschitz curve can be any compact, uniformly disconnected set in Euclidean space which admits any Lipschitz capture. We do not obtain a characterization of such sets however, indeed we leave open the very strong question of whether or not a Lipschitz curve can obtain every pseudotangent at every point.
Keywords
Cite
@article{arxiv.2511.10541,
title = {Pseudotangents to Lipschitz curves},
author = {Eve Shaw},
journal= {arXiv preprint arXiv:2511.10541},
year = {2025}
}
Comments
7 pages, 0 figures