Universality theorem for LNE Hölder triangles
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929607609942016 |
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| author | Birbrair, Lev Denkowski, Maciej Medeiros, Davi Lopes Sampaio, José Edson |
| author_facet | Birbrair, Lev Denkowski, Maciej Medeiros, Davi Lopes Sampaio, José Edson |
| contents | We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded Hölder triangles in $\mathbb{R}^4$. In contrast to the case of $\mathbb{R}^3$ there are infinitely many equivalence classes. The equivalence classes are related to the so-called microknots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universality theorem for LNE Hölder triangles Birbrair, Lev Denkowski, Maciej Medeiros, Davi Lopes Sampaio, José Edson Algebraic Geometry Geometric Topology Metric Geometry 51F30, 14P10, 03C64, 57K10 We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded Hölder triangles in $\mathbb{R}^4$. In contrast to the case of $\mathbb{R}^3$ there are infinitely many equivalence classes. The equivalence classes are related to the so-called microknots. |
| title | Universality theorem for LNE Hölder triangles |
| topic | Algebraic Geometry Geometric Topology Metric Geometry 51F30, 14P10, 03C64, 57K10 |
| url | https://arxiv.org/abs/2410.09532 |