Geodesic
Weak quasicircles have Lipschitz dimension 1
David M. Freeman1
1 University of Cincinnati Blue Ash College, Department of Mathematics, Physics, and Computer Science
Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 283-303.

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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.
DOI : 10.54330/afm.113453
Keywords: Lipschitz dimension, Lipschitz light mappings, quasisymmetric mappings, bi-Lipschitz embeddings

David M. Freeman 1

1 University of Cincinnati Blue Ash College, Department of Mathematics, Physics, and Computer Science 
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David M. Freeman. Weak quasicircles have Lipschitz dimension 1. Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 283-303. doi : 10.54330/afm.113453. http://geodesic.mathdoc.fr/articles/10.54330/afm.113453/

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