Work

Universality Theorem for LNE Hölder Triangles

Year: 2025

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnaf123

Authors: Lev Birbrair, Maciej Denkowski, Davi Lopes Medeiros, José Edson Sampaio

Institutions: Jagiellonian University, Universidade Federal do Ceará, Universidade de São Paulo

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Instituto Serrapilheira

Awards: G3994407190, G4212724952, G6233964741