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.

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Published

2022-01-10

Issue

Vol. 47 No. 1 (2022)

Section

Articles

License

Copyright (c) 2021 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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