On scrambled sets and a theorem of Kuratowski on independent sets

DOI10.1090/S0002-9939-98-04344-5zbMath0893.54033OpenAlexW1855952199MaRDI QIDQ4387099

Hisao Kato

Publication date: 6 May 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04344-5

zbMATH Keywords

topologically conjugate maps

Mathematics Subject Classification ID

Iteration of real functions in one variable (26A18)

Related Items (9)

CAT(0) groups and Coxeter groups whose boundaries are scrambled sets. ⋮ Cardinalities of scrambled sets and positive scrambled sets ⋮ Iteration Theory: Dynamical Systems and Functional Equations ⋮ Dynamical systems which realize given random bi-sequences of points on their orbits ⋮ A note on distributional chaos with respect to a sequence ⋮ Stable sets and \(\epsilon\)-stable sets in positive-entropy systems ⋮ On an extension of Mycielski’s theorem and invariant scrambled sets ⋮ Chaos of time-varying discrete dynamical systems ⋮ Chaotic sets of continuous and discontinuous maps

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