Description

• Title:
  Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type
• Creator:
  Cousillas, Gonzalo;
  Groisman, Jorge;
  Xavier, Juliana
• Description:
  We study the dynamics of {\it topologically Anosov} homeomorphisms of non-compact surfaces. In the case of surfaces of genus zero and finite type, we classify them. We prove that if $f\colon S \to S$, is a Topologically Anosov homeomorphism where $S$ is a non-compact surface of genus zero and finite type, then $S= \mathbb{R}^2$ and $f$ is conjugate to a homothety or reverse homothety (depending on wether $f$ preserves or reverses orientation). A weaker version of this result was conjectured in \cite{cgx}.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2021.09.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 58, No 1 (September 2021); 323 - 333;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/35217/29680 ;https://apcz.umk.pl/TMNA/article/view/35217/29681
• Subject:
  Topologically expansive homeomorphism;
  topological shadowing property;
  Topologically Anosov plane homeomorphism;
  Primary;
  37E30;
  Secondary;
  37B20
• Identifier: https://apcz.umk.pl/TMNA/article/view/35217
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other