Homogeneous trees are bilipschitz equivalent
type: Item
instance of: scholarly article
title: Homogeneous trees are bilipschitz equivalent
zbMATH Open document ID: 0836.05018
DOI: 10.1007/BF01265344
published in: Geometriae Dedicata
publication date: 1995-10-17T00:00:00Z
review text: It is proved that any two locally finite homogeneous trees with valency greater than 3 are bilipschitz equivalent. This implies that any two finitely generated non-abelian free groups are bilipschitz equivalent, answering a question raised by Gromov.
Mathematics Subject Classification ID: 05C05
zbMATH DE Number: 806213
zbMATH Keywords: homogeneous trees
zbMATH Keywords: bilipschitz equivalent
zbMATH Keywords: free groups
author: Panos Papasoglu
reviewed by: Peter Kirschenhofer
MaRDI profile type: Publication
cites work: Q3140233
full work available at URL: https://doi.org/10.1007/bf01265344
OpenAlex ID: W2017306518
Recommended article: About Some Properties of Similarly Homogeneous R-Trees
Recommended article: Bilipschitz equivalence of trees and hyperbolic fillings
Recommended article: Q3118354
Recommended article: Homometric sets in trees
Recommended article: The universal homogeneous binary tree
Recommended article: On the vertical similarly homogeneous \(\mathbb{R}\)-trees
Recommended article: Q4848230
Recommended article: On n-equivalence of binary trees
Recommended article: An analogue of the spectral projection for homogeneous trees
Recommended article: A Converse to the Mean Value Property on Homogeneous Trees
description: scientific article; zbMATH DE number 806213