Shadowing, entropy and a homeomorphism of the pseudoarc

DOI10.1090/S0002-9939-09-10162-4zbMath1196.37035OpenAlexW2047572479MaRDI QIDQ3550578

Piotr Oprocha, Piotr Kościelniak

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10162-4

zbMATH Keywords

entropytopological mixingshadowingpseudoarccrooked map

Mathematics Subject Classification ID

Related Items (6)

Parametrized family of pseudo‐arc attractors: Physical measures and prime end rotations ⋮ S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps ⋮ Shadowing, asymptotic shadowing and s-limit shadowing ⋮ Hereditarily indecomposable inverse limits of graphs: shadowing, mixing and exactness ⋮ Topologically mixing maps and the pseudoarc ⋮ Topological mixing, knot points and bounds of topological entropy

Cites Work

• Entropy of shift maps of the pseudo-arc
• Ergodic theory on compact spaces
• Topological entropy and chaos for maps induced on hyperspaces
• The pseudo-arc as an inverse limit with one binding map
• Concerning hereditarily indecomposable continua
• Dense Periodicity on the Interval
• Pseudo-Orbit Shadowing in the Family of Tent Maps
• A method for constructing attractors
• A Transitive Map on [0,1 Whose Inverse Limit is the Pseudoarc]
• A Transitive Homeomorphism on the Pseudoarc which is Semiconjugate to the Tent Map
• Shadowing Property for Inverse Limit Spaces
• Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval
• An Indecomposable Plane Continuum Which is Homeomorphic to Each of Its Nondegenerate Subcontinua
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