Distortion in transformation groups

Simple item page
dc.creatorCalegari, Danny
dc.creatorFreedman, Michael H
dc.date2005-09-29
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:06:59Z
dc.date.available2026-07-07T13:06:59Z
dc.descriptionWe exhibit rigid rotations of spheres as distortion elements in groups of diffeomorphisms, thereby answering a question of J Franks and M Handel. We also show that every homeomorphism of a sphere is, in a suitable sense, as distorted as possible in the group Homeo(S^n), thought of as a discrete group. An appendix by Y de Cornulier shows that Homeo(S^n) has the strong boundedness property, recently introduced by G Bergman. This means that every action of the discrete group Homeo(S^n) on a metric space by isometries has bounded orbits.
dc.descriptionThis is the version published by Geometry & Topology on 26 March 2006 (V7: typesetting corrections)
dc.identifierhttps://arxiv.org/abs/math/0509701
dc.identifierhttp://arxiv.org/abs/math/0509701
dc.identifierGeom. Topol. 10 (2006) 267-293
dc.identifierdoi:10.2140/gt.2006.10.267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227953
dc.subjectDynamical Systems
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject37C85, 22F05, 37C05, 57M60, 57S25
dc.titleDistortion in transformation groups
dc.typetext

Files

Collections

arXiv