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

DOI10.1016/0166-8641(95)00019-8zbMath0845.55004OpenAlexW2049527903MaRDI QIDQ1910697

Peter N.-S. Wong, Edward C. Keppelmann, Philip R. Heath

Publication date: 15 September 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00019-8

zbMATH Keywords

Nielsen numbersfibre spaces

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Fiber spaces in algebraic topology (55R05)

Related Items (18)

The boundary-Wecken classification of surfaces ⋮ Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I ⋮ Addition formulae for Nielsen numbers and Nielsen type numbers of fibre preserving maps defined locally ⋮ Construction of multiply fixed \(n\)-valued maps ⋮ Calculation of Nielsen periodic numbers of fibre preserving maps ⋮ The multiplicativity of fixed point invariants ⋮ Homotopy minimal periods for maps of three-dimensional solvmanifolds ⋮ FIXED POINTS AND COINCIDENCES IN TORUS BUNDLES ⋮ Fixed points on model solvmanifold pairs ⋮ Nielsen fixed point theory for partially ordered sets ⋮ Fixed points of fiber maps of Montgomery-Samelson fiberings over intervals ⋮ On the computation of the relative Nielsen number ⋮ Nielsen type numbers for periodic points of fibre preserving maps ⋮ Groupoids and relations among Reidemeister and among Nielsen numbers ⋮ Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory ⋮ Product formula for the fixed point index of a fibre preserving map defined locally ⋮ Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations ⋮ A minimum fixed point theorem for smooth fiber preserving maps

Cites Work

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• The Anosov theorem for exponential solvmanifolds
• The Nielsen number of a fibre map
• Corrections to The Nielsen number of a fibre map
• Factor spaces of solvable groups
• One-parameter Fixed Point Theory
• Lectures on Nielsen fixed point theory
• The Nielsen numbers of maps of nil-manifolds
• On the Fixed Point Indices and Nielsen Numbers of Fiber Maps on Jiang Spaces
• The semi-index product formula
• Note on Cofibrations II.
• Recent results in the fixed point theory of continuous maps
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