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On an extension of Mycielski’s theorem and invariant scrambled sets

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Publication:2808044
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DOI10.1017/ETDS.2014.76zbMath1355.37024OpenAlexW2138614275MaRDI QIDQ2808044

Feng Tan

Publication date: 26 May 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2014.76


zbMATH Keywords

chaotic setsperfect Polish spaceMycielski subsetMycielski's theorem


Mathematics Subject Classification ID

Symbolic dynamics (37B10)


Related Items (3)

Combinatorial embedding of chain transitive zero-dimensional systems into chaos ⋮ Generalized specification property and distributionally scrambled sets ⋮ A dynamical version of the Kuratowski–Mycielski theorem and invariant chaotic sets




Cites Work

  • Coherent lists and chaotic sets
  • Ergodic theory on compact spaces
  • Factor maps and invariant distributional chaos
  • Chaos in a topologically transitive system
  • Sufficient conditions under which a transitive system is chaotic
  • On scrambled sets and a theorem of Kuratowski on independent sets
  • Topological size of scrambled sets
  • Devaney's chaos or 2-scattering implies Li-Yorke's chaos




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