A Transitive Homeomorphism on the Pseudoarc which is Semiconjugate to the Tent Map

DOI10.2307/2001783zbMath0738.54013OpenAlexW4232960155MaRDI QIDQ3977231

Judy A. Kennedy

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001783

zbMATH Keywords

pseudoarcindecomposable continuumtent mapchainable continuumtransitive homeomorphismwandering pointssemiconjugate homeomorphism

Mathematics Subject Classification ID

Continua and generalizations (54F15)

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Cites Work

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• Horseshoe maps and inverse limits
• Dense orbits on the interval
• A homogeneous indecomposable plane continuum
• Concerning hereditarily indecomposable continua
• Snake-like continua
• The Construction of Global Attractors
• Each Homogeneous Nondegenerate Chainable Continuum is a Pseudo-Arc
• Most Maps of the Pseudo-Arc are Homeomorphisms
• Stable Extensions of Homeomorphisms on the Pseudoarc
• Dense Periodicity on the Interval
• A Brouwer Translation Theorem for Free Homeomorphisms
• Homoclinic Intersections and Indecomposability
• A method for constructing attractors
• Stable Homeomorphisms of the Pseudo-Arc
• A Pathological Area Preserving C ∞ Diffeomorphism of the Plane
• Sur quelques propriétés des courbes de M. Birkhoff
• Chaos, Periodicity, and Snakelike Continua
• A Fixed Point Theorem for Pseudo-Arcs and Certain Other Metric Continua
• On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y ² )y˙ + y = b λk cos(λl + α), k Large
• Some fixed point theorems