Quasiconformal and geodesic trees
Volume 250 / 2020
Fundamenta Mathematicae 250 (2020), 253-299
MSC: Primary 30L10; Secondary 51F99.
DOI: 10.4064/fm749-7-2019
Published online: 24 February 2020
Abstract
A quasiconformal tree is a metric tree that is doubling and of bounded turning. We prove that every quasiconformal tree is quasisymmetrically equivalent to a geodesic tree with Hausdorff dimension arbitrarily close to 1.
