Weak quasicircles have Lipschitz dimension 1

David M. Freeman

doi:10.54330/afm.113453

Weak quasicircles have Lipschitz dimension 1

Authors

David M. Freeman University of Cincinnati Blue Ash College, Department of Mathematics, Physics, and Computer Science

DOI: https://doi.org/10.54330/afm.113453

Keywords:

Lipschitz dimension, Lipschitz light mappings, quasisymmetric mappings, bi-Lipschitz embeddings

Abstract

We prove that the Lipschitz dimension of any bounded turning Jordan circle or arc is equal to 1. Equivalently, the Lipschitz dimension of any weak quasicircle or arc is equal to 1.

Issue

Vol. 47 No. 1 (2022)

Section

Articles

Published

2022-01-10

How to Cite

Freeman, D. M. (2022). Weak quasicircles have Lipschitz dimension 1. Annales Fennici Mathematici, 47(1), 283–303. https://doi.org/10.54330/afm.113453

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