Nielsen periodic point theory for periodic maps on orientable surfaces

DOI10.1016/J.TOPOL.2005.03.016zbMath1092.55003OpenAlexW1967811744MaRDI QIDQ820095

Evelyn L. Hart, Edward C. Keppelmann

Publication date: 6 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.03.016

zbMATH Keywords

surfaceNielsen numberperiodic mapReidemister trace

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Fundamental group, presentations, free differential calculus (57M05)

Related Items (3)

Homotopical theory of periodic points of periodic homeomorphisms on closed surfaces ⋮ Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds ⋮ Nielsen type numbers of self-maps on the real projective plane

Uses Software

• Magma

Cites Work

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• Nielsen-type numbers for periodic points. II
• Maximum orders of periodic maps on closed surfaces
• Free degrees of homeomorphisms and periodic maps on closed surfaces
• Explorations in Nielsen periodic point theory for the double torus
• Fixed points of surface diffeomorphisms
• Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I
• Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. II
• Lectures on Nielsen fixed point theory
• The Nielsen number on surfaces
• Computation of Nielsen numbers for maps of closed surfaces
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE

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