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arXiv · 2511.10541

Pseudotangents to Lipschitz curves

Eve Shaw
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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.

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Eve Shaw. 2025-11-13. Pseudotangents to Lipschitz curves. https://arxiv.org/abs/2511.10541

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