A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps

DOI10.1090/S0002-9947-02-02952-5zbMath1042.37033OpenAlexW1948370353MaRDI QIDQ2782667

Jaroslaw Kwapisz

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-02952-5

zbMATH Keywords

rotation setsdiffeomorphisms of the two torus

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (15)

Entropy and rotation sets: A toy model approach ⋮ A generalization of the line translation theorem ⋮ Periodic point free continuous self-maps on graphs and surfaces ⋮ Projective transformations of rotation sets ⋮ Free curves and periodic points for torus homeomorphisms ⋮ A dynamical decomposition of the torus into pseudo-circles ⋮ Periodic point free homeomorphisms of the open annulus: from skew products to non-fibred maps ⋮ A finite dimensional approach to Bramham's approximation theorem ⋮ Partially periodic point free self-maps on product of spheres and Lie groups ⋮ Geometry and entropy of generalized rotation sets ⋮ On the Lefschetz periodic point free continuous self-maps on connected compact manifolds ⋮ On the rotation sets of generic homeomorphisms on the torus ⋮ Functions for relative maximization ⋮ Linearization of conservative toral homeomorphisms ⋮ Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres

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