Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds

DOI10.1007/s10711-016-0199-4zbMath1372.37046OpenAlexW2531602033WikidataQ59609046 ScholiaQ59609046MaRDI QIDQ522083

Jerzy Jezierski, Grzegorz Graff

Publication date: 13 April 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-016-0199-4

zbMATH Keywords

fixed point indexNielsen numberperiodic pointsmooth mapboundary-preserving 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) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

Generalized Dold sequences on partially-ordered sets ⋮ Fixed point indices and fixed words at infinity of selfmaps of graphs. II ⋮ Generating sequences of Lefschetz numbers of iterates ⋮ Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms ⋮ Dynamics of field line mappings in magnetic flux tubes ⋮ Dold sequences, periodic points, and dynamics

Cites Work

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