Description

• Title:
  Isomorphic extensions and applications
• Creator:
  Downarowicz, Tomasz;
  Glasner, Eli
• Description:
  If $\pi\colon (X,T)\to(Z,S)$ is a topological factor map between uniquely ergodic topological dynamical systems, then $(X,T)$ is called an isomorphic extension of $(Z,S)$ if $\pi$ is also a measure-theoretic isomorphism. We consider the case when the systems are minimal and we pay special attention to equicontinuous $(Z,S)$. We first establish a characterization of this type of isomorphic extensions in terms of mean equicontinuity, and then show that an isomorphic extension need not be almost one-to-one, answering questions of Li, Tu and Ye.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.08.07
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 1 (September 2016); 321 - 338;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.050/9506 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.050/9507
• Subject:
  Minimality;
  unique ergodicity;
  isomorphic extension;
  almost one-to-one extension;
  mean equicontinuity;
  skew product;
  37xx;
  37A05;
  37B05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.050
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other