Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds

DOI10.1007/s11784-012-0076-1zbMath1276.55005OpenAlexW2056568553MaRDI QIDQ360533

Jerzy Jezierski, Grzegorz Graff

Publication date: 27 August 2013

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-012-0076-1

zbMATH Keywords

fixed point indexNielsen numberperiodic pointsmooth map

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)

Related Items (5)

Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers ⋮ Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces ⋮ Dold sequences, periodic points, and dynamics

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