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

DOI10.1007/S11784-018-0651-1zbMath1486.55004OpenAlexW2906659763MaRDI QIDQ1713955

Jerzy Jezierski

Publication date: 30 January 2019

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0651-1

zbMATH Keywords

fixed pointperiodic pointdegreesNielsen fixed point theoryleast number of periodic pointssmooth mapsDold congruencesthe sphere \(S^2\)

Mathematics Subject Classification ID

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

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
• Fixed points and braids. II
• Self-maps of \(S^2\) homotopic to a smooth map with a single \(n\)-periodic point
• 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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