Description

• Title:
  Topologies on the group of homeomorphisms of a Cantor set
• Creator:
  Bezuglyi, Sergey;
  Dooley, Anthony H.;
  Kwiatkowski, Jan
• Description:
  Let $\text{\rm Homeo}(\Omega)$ be the group of all homeomorphisms of a Cantor set $\Omega$. We study topological properties of $\text{\rm Homeo}(\Omega)$ and its subsets with respect to the uniform $(\tau)$ and weak $(\tau_w)$ topologies. The classes of odometers and periodic, aperiodic, minimal, rank 1 homeomorphisms are considered and the closures of those classes in $\tau$ and $\tau_w$ are found.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2006.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 27, No 2 (June 2006); 299 - 331;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.013/8886
• Subject:
  Cantor set;
  minimal homeomorphisms;
  full groups;
  odometer;
  37B05;
  54H11
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.013
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other