Lipschitz normally embedded sets do not need to have Lipschitz normally embedded medial axis
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913267127943168 |
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| author | Kosiba, Michał |
| author_facet | Kosiba, Michał |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10734 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lipschitz normally embedded sets do not need to have Lipschitz normally embedded medial axis Kosiba, Michał Algebraic Geometry 14B05, 32B25 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. |
| title | Lipschitz normally embedded sets do not need to have Lipschitz normally embedded medial axis |
| topic | Algebraic Geometry 14B05, 32B25 |
| url | https://arxiv.org/abs/2403.10734 |