Description

• Title:
  On iteration groups of singularity-free homeomorphisms of the plane
• Creator:
  Zdun, Marek Cezary;
  Leśniak, Zbigniew
• Description:
  Let D be a simply connected region on the plane. We prove that a continuous iteration group of homeomorphisms {ft : t∈ℝ} defined on D is of the formft(x) = ϕ-1(ϕ(x)+te1)   for x∈D, t∈ℝ,where e1=(1,0) and ϕ is a homeomorphism mapping D onto ℝ, if and only if f1 is a singularity-free homeomorphism, i.e. f1 =: f has the property that for every Jordan domain B ⊂ D there exists an integer n0 such that B∩fn[B] = ⌀ for |n| > n0, n∈ℤ.
• Object availability:
  free access
• Date:
  1994.09.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English;
  eng
• Source:
  Annales Mathematicae Silesianae; Vol 8 (1994); 203-210;
  Annales Mathematicae Silesianae; Tom 8 (1994); 203-210;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14235/10968
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14235
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other