A zero topological entropy map with recurrent points not $F_\sigma $

DOI10.1090/S0002-9939-03-06971-5zbMath1013.37035MaRDI QIDQ4804056

Petra Šindelářová

Publication date: 10 April 2003

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

zbMATH Keywords

periodic pointstopological entropy\(\omega\)-limit setinterval maprecurrent points

Mathematics Subject Classification ID

Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Triangular maps with all periods and no infinite \(\omega\)-limit set containing periodic points ⋮ On negative limit sets for one-dimensional dynamics

Cites Work

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• A characterization of ω-limit sets of maps of the interval with zero topological entropy
• A zero topological entropy map for which periodic points are not a G_\delta set
• Characterizations of Weakly Chaotic Maps of the Interval
• A Counterexample in Dynamical Systems of the Interval
• Stability of Periodic Orbits in the Theorem of Sarkovskii
• ON THE STRUCTURE OF THE ω-LIMIT SETS FOR CONTINUOUS MAPS OF THE INTERVAL

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