Self-maps of \(S^2\) homotopic to a smooth map with a single \(n\)-periodic point

DOI10.1007/S10114-017-6120-8zbMath1376.55002OpenAlexW2604538059MaRDI QIDQ2404094

Jerzy Jezierski

Publication date: 12 September 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-6120-8

zbMATH Keywords

fixed pointperiodic pointDold congruencesNielsen relation

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Differential topology (57R99) Fixed points and coincidences in algebraic topology (55M20)

Related Items (1)

The least number of 2-periodic points of a smooth self-map of \({S}^{2}\) of degree 2 equals 2

Cites Work

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• Fixed point indices of iterated smooth maps in arbitrary dimension
• Fixed points and braids
• Fixed point indices of iterated maps
• A remark on the Lefschetz fixed point formula for differentiable maps
• Minimal number of periodic points for C 1 self-maps of compact simply-connected manifolds
• THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING

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