Chaotic homeomorphisms of compact subspaces of the real line

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概要

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• Abstract : Let X be a compact subspace of the real line equipped with the standard topology. We prove that there exists a chaotic homeomorphism of X onto itself if and only if X is homeomorphic to the Cantor set, and show a family of chaotic homeomorphisms of the Cantor set onto itself.

• 山形大学の論文
• 2008-02-15

著者

• 河村 新蔵

  Department Of Mathematics Faculty Of Science Yamagata University

• Ahmed Payer

  Department Of Mathematics Jagannath University

関連論文

• TOPOLOGICAL TRANSITIVITY AND C$^\ast$-ALGEBRAS(Theory of Dynamical Systems and Its Application to Nonlinear Problems)
• Chaotic homeomorphisms of compact subspaces of the real line

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