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Universality theorem for LNE Hölder triangles (2410.09532v1)

Published 12 Oct 2024 in math.AG, math.GT, and math.MG

Abstract: We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded H\"older 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.

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