7. Ijpast-199-v6n1

نویسندگان

  • Payer Ahmed
  • M. Rahman
  • S. Kawamura
چکیده

We show a homeomorphic equivalent relation among the compact subspaces (Cantor middle-third sets, two-sided shift map of Cantor sets and ternary sets etc.) of the real line. Using such result, we show that there exists a chaotic homeomorphism of a compact subspace of the real line onto itself if and only if it is homeomorphic to the Cantor set.

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تاریخ انتشار 2012