On Changing Fixed Points and Coincidences to Roots

DOI10.2307/2159276zbMath0764.55002OpenAlexW4231601179MaRDI QIDQ3993790

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Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2159276

zbMATH Keywords

rootscoincidencesnilmanifoldNielsen numberLefschetz number

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fixed points and coincidences in algebraic topology (55M20) Topological manifolds (57N99)

Related Items (7)

Nielsen coincidence, fixed point and root theories of \(n\)-valued maps ⋮ Anosov theorem for coincidences on special solvmanifolds of type $(\mathrm {R})$ ⋮ Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds. II ⋮ Nielsen type invariants and the location of coincidence sets in positive codimension ⋮ Averaging formula for Nielsen coincidence numbers ⋮ Minimizing coincidence in positive codimension ⋮ Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations

Cites Work

• Coincidence Lefschetz numbers for a pair of fibre preserving maps
• Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds
• The Nielsen product formula for coincidences
• Mindestzahlen von Koinzidenzpunkten.
• Lectures on Nielsen fixed point theory
• The Nielsen numbers of maps of nil-manifolds
• Certain Subgroups of the Fundamental Group and the Number of Roots of f(x) = a
• A Lower Bound for the Δ-Nielsen Number
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