The absolute degree and Nielsen root number of a fibre-preserving map

DOI10.1016/S0166-8641(01)00256-5zbMath1018.55003MaRDI QIDQ1862071

Helga Schirmer, Robert F. Brown, Robin B. S. Brooks

Publication date: 10 March 2003

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

zbMATH Keywords

fibre bundlesNielsen root numberorientabilitygeometric degreeHopf's absolutgradmultiplicity of a root classsolvmanifoldsorientable mapsabsolute degreeorientation bundlefibred geometric degreefibred minimum number of rootsfibrewise mapsminimum number of rootsroots of fibre-preserving maps

Mathematics Subject Classification ID

Degree, winding number (55M25) Fixed points and coincidences in algebraic topology (55M20) Topology of vector bundles and fiber bundles (57R22) Fiber bundles in algebraic topology (55R10)

Related Items (2)

De Rham cohomology with locally constant coefficients and the degree of maps between manifolds ⋮ Groupoids and relations among Reidemeister and among Nielsen numbers

Cites Work

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• Nielsen numbers and Lefschetz numbers on solvmanifolds
• Torsion in \(H\)-spaces
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• Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I
• Nielsen numbers for roots of maps of aspherical manifolds
• Corrections to The Nielsen number of a fibre map
• Fibre Techniques in Nielsen Periodic Point Theory On Solvmanifolds III: Calculations
• A Fiber Homotopy Extension Theorem
• Alexander Duality and Hurewicz Fibrations
• On the root classes of mapping
• Nielsen root theory and Hopf degree theory.
• The absolute degree and the Nielsen root number of compositions and Cartesian products of maps

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