Construction of minimal non-invertible skew-product maps on 2-manifolds

DOI10.1090/proc12749zbMath1353.37020arXiv1407.4674OpenAlexW3100470197MaRDI QIDQ2789869

Jakub Šotola, Sergei I. Trofimchuk

Publication date: 2 March 2016

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

Full work available at URL: https://arxiv.org/abs/1407.4674

zbMATH Keywords

Klein bottletwo-dimensional torusblow up techniquecircle-fibered self-maps

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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Cites Work

• Unnamed Item
• Minimal sets of fibre-preserving maps in graph bundles
• A construction of almost automorphic minimal sets
• On the construction of non-invertible minimal skew products
• On the construction of minimal skew products
• Continuous maps of the circle without periodic points
• A point distal transformation of the torus
• A classification of minimal sets of torus homeomorphisms
• Almost periodically forced circle flows
• Noninvertible minimal maps
• Proper minimal sets on compact connected 2-manifolds are nowhere dense
• Denjoy constructions for fibered homeomorphisms of the torus
• On minimal maps of 2-manifolds
• The Construction of Minimal Discrete Flows