Generically there is but one self homeomorphism of the Cantor set

Simple item page
dc.creatorAkin, Ethan
dc.creatorGlasner, Eli
dc.creatorWeiss, Benjamin
dc.date2006-03-22
dc.date.accessioned2026-07-07T07:07:10Z
dc.date.available2026-07-07T07:07:10Z
dc.descriptionWe describe a self-homeomorphism $R$ of the Cantor set $X$ and then show that its conjugacy class in the Polish group $H(X)$ of all homeomorphisms of $X$ forms a dense $G_δ$ subset of $H(X)$. We also provide an example of a locally compact, second countable topological group which has a dense conjugacy class.
dc.identifierhttps://arxiv.org/abs/math/0603538
dc.identifierhttp://arxiv.org/abs/math/0603538
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110290
dc.subjectDynamical Systems
dc.subjectGroup Theory
dc.subject22A05
dc.titleGenerically there is but one self homeomorphism of the Cantor set
dc.typetext

Files

Collections

arXiv