The absolute degree and the Nielsen root number of compositions and Cartesian products of maps

DOI10.1016/S0166-8641(00)00089-4zbMath0986.55005OpenAlexW2039879963MaRDI QIDQ5948948

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

Publication date: 3 June 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(00)00089-4

zbMATH Keywords

geometric degreeHopf's absolutgradinfrasolvmanifoldsmaps between non-orientable manifoldsmultiplicity of a root classsolvmanifoldstransverse Nielsen root number

Mathematics Subject Classification ID

Degree, winding number (55M25) Fixed points and coincidences in algebraic topology (55M20) Topological manifolds (57N99)

Related Items (5)

Two orientations ⋮ De Rham cohomology with locally constant coefficients and the degree of maps between manifolds ⋮ Wecken type problems for self-maps of the Klein bottle ⋮ Groupoids and relations among Reidemeister and among Nielsen numbers ⋮ The absolute degree and Nielsen root number of a fibre-preserving map

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The degree of a map between surfaces
• Nielsen numbers for roots of maps of aspherical manifolds
• Rigidity and other topological aspects of compact nonpositively curved manifolds
• Reidemeister number, Hirsch rank, coincidences on polycyclic groups and solvmanifolds
• On the sharpness of the ∆2 and ∆1 Nielsen numbers.
• Nielsen root theory and Hopf degree theory.

This page was built for publication: The absolute degree and the Nielsen root number of compositions and Cartesian products of maps