Quasiconformal and geodesic trees

Mario Bonk, Daniel Meyer Fundamenta Mathematicae 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.

Authors

  • Mario BonkDepartment of Mathematics
    University of California
    Los Angeles, CA 90095, U.S.A.
    e-mail
  • Daniel MeyerDepartment of Mathematical Sciences
    University of Liverpool
    Liverpool L69 7ZL, United Kingdom
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image