Universality Theorem for LNE Hölder Triangles
Abstract 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.
Authors
- Maciej P. Denkowski (ORCID: https://orcid.org/0000-0001-7231-2482)
- Lev Birbrair (ORCID: https://orcid.org/0000-0002-7968-1421)
- José Edson Sampaio (ORCID: https://orcid.org/0000-0002-4295-4676)
- Davi Lopes Medeiros
Institutions
- Jagiellonian University (PL)
- Universidade de São Paulo (BR)
- Universidade Federal do Ceará (BR)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-05-24
- DOI
- https://doi.org/10.1093/imrn/rnaf123
- Citations
- 1
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 1.33