Open AccessWeak quasicircles have Lipschitz dimension 1
Author(s) -
David Freeman
Publication year - 2022
Publication title -
annales fennici mathematici
Language(s) - Uncategorized
Resource type - Journals
eISSN - 2737-114X
pISSN - 2737-0690
DOI - 10.54330/afm.113453
Subject(s) - lipschitz continuity , dimension (graph theory) , mathematics , lipschitz domain , bounded function , arc (geometry) , pure mathematics , mathematical analysis , geometry
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.