Periodic point free continuous self-maps on graphs and surfaces

DOI10.1016/j.topol.2012.03.005zbMath1236.37016OpenAlexW2095177230MaRDI QIDQ411829

Jaume Llibre

Publication date: 30 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150504

zbMATH Keywords

Lefschetz numberorientable surfaceLefschetz zeta functionnon-orientable surfaceconnected compact graphconnected compact surfaceperiodic point free

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

On partially periodic point free self-maps on the wedge sums of spheres ⋮ On Lefschetz periodic point free self-maps ⋮ Partially periodic point free self-maps on product of spheres and Lie groups ⋮ Periods of continuous maps on some compact spaces ⋮ On the periods of a continuous self-map on a graph ⋮ Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres ⋮ A survey on the set of periods of the graph homeomorphisms

Cites Work

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• Periodic Point Free Homeomorphism of T 2
• THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
• Periodic point free maps of tori which have rotation sets with interior

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