Topologies on the group of homeomorphisms of a Cantor set

Simple item page
dc.creatorBezuglyi, Sergey
dc.creatorDooley, Anthony H.
dc.creatorKwiatkowski, Jan
dc.date2004-10-23
dc.date2004-10-27
dc.date.accessioned2026-07-07T05:13:38Z
dc.date.available2026-07-07T05:13:38Z
dc.descriptionLet $Homeo(Ω)$ be the group of all homeomorphisms of a Cantor set $Ω$. We study topological properties of $Homeo(Ω)$ and its subsets with respect to the uniform $(τ)$ and weak $(τ_w)$ topologies. The classes of odometers and periodic, aperiodic, minimal, rank 1 homeomorphisms are considered and the closures of those classes in $τ$ and $τ_w$ are found.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0410507
dc.identifierhttp://arxiv.org/abs/math/0410507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72980
dc.subjectDynamical Systems
dc.subject37B05; 37A40
dc.titleTopologies on the group of homeomorphisms of a Cantor set
dc.typetext

Files

Collections

arXiv