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arXiv · 2403.10734

Lipschitz normally embedded sets do not need to have Lipschitz normally embedded medial axis

Michał Kosiba
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Abstract

The aim of this paper is to study the Lipschitz normally embedded property for a set and its medial axis. We consider if and when a non-LNE set implies non-LNE medial axis and converse. We present an example a of Lipschitz normally set that has medial axis which is not Lipschitz normally emebedded. At the end we discuss special case when a set is a one dimensional germ on a plane.

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Michał Kosiba. 2024-03-15. Lipschitz normally embedded sets do not need to have Lipschitz normally embedded medial axis. https://arxiv.org/abs/2403.10734

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