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Chaotic homeomorphisms of compact subspaces of the real line

Payer AhmedShinzō Kawamura

2008Yamagata University Academic Repository (Yamagata University)Mathematics被引 1开放获取

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摘要

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.

引用本文(GB/T 7714)

Payer Ahmed, Shinzō Kawamura. Chaotic homeomorphisms of compact subspaces of the real line[J]. Yamagata University Academic Repository (Yamagata University), 2008.

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