Quasiconformal and geodesic trees
Fundamenta Mathematicae MSC: Primary 30L10; Secondary 51F99. DOI: 10.4064/fm749-7-2019 Published online: 24 February 2020
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.