Calculation of Nielsen periodic numbers on infra-solvmanifolds of type (R)

DOI10.1016/j.topol.2023.108487OpenAlexW4324387290WikidataQ121224745 ScholiaQ121224745MaRDI QIDQ2697409

Changbok Li

Publication date: 12 April 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108487

zbMATH Keywords

periodic pointsNielsen type numbersinfra-solvmanifolds of type (R)

Mathematics Subject Classification ID

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

Cites Work

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• Bieberbach theorems for solvable Lie groups
• Homotopy minimal periods for expanding maps on infra-nilmanifolds
• Nielsen-type numbers for periodic points. II
• Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I
• Nielsen periodic point theory on infra-nilmanifolds
• Homotopy minimal periods for \(NR\)-solvmanifolds maps
• The Anosov theorem for exponential solvmanifolds
• Calculation of Nielsen periodic numbers on infra-nilmanifolds
• Lefschetz numbers for continuous maps, and periods for expanding maps on infra-nilmanifolds
• The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\)
• AVERAGING FORMULA FOR NIELSEN NUMBERS OF MAPS ON INFRA-SOLVMANIFOLDS OF TYPE (R) – CORRIGENDUM
• Lectures on Nielsen fixed point theory
• The Nielsen numbers of maps of nil-manifolds
• The Geometries of 3-Manifolds
• Averaging Formula for Nielsen Numbers
• Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)

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