Product formula for the fixed point index of a fibre preserving map defined locally

DOI10.1016/j.topol.2019.106895zbMath1429.55001OpenAlexW2976338299MaRDI QIDQ2329359

Changbok Li

Publication date: 17 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.106895

zbMATH Keywords

fixed pointNielsen classANRNielsen numbersHurewicz fibre spaceLefschetz fixed point index

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Fiber spaces in algebraic topology (55R05)

Related Items (1)

Addition formulae for Nielsen numbers and Nielsen type numbers of fibre preserving maps defined locally

Cites Work

• Product formulae for Nielsen numbers of fibre maps
• Nielsen numbers and Lefschetz numbers on solvmanifolds
• Local fixed point index theory for non simply connected manifolds
• A Nielsen type number for fibre preserving maps
• Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I
• Addition formulae for Nielsen numbers and for Nielsen type numbers of fibre preserving maps
• The Anosov theorem for exponential solvmanifolds
• Relative Nielsen theory for noncompact spaces and maps
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• The Nielsen number of a fibre map
• Corrections to The Nielsen number of a fibre map
• Lectures on Nielsen fixed point theory
• The Nielsen numbers of maps of nil-manifolds
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs
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