A Hopf type classification theorem for isovariant maps from free \(G\)-manifolds to representation spheres

DOI10.1007/s10114-011-0235-0zbMath1225.57016OpenAlexW2027687685MaRDI QIDQ546298

Ikumitsu Nagasaki, Fumihiro Ushitaki

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0235-0

zbMATH Keywords

multidegreefinite group actionBorsuk-Ulam inequalityHopf classification theoremisovariant map

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20)

Related Items (1)

Estimates of the isovariant Borsuk-Ulam constants of connected compact Lie groups

Cites Work

• Unnamed Item
• On self-mapping degrees of \(S^{3}\)-geometry manifolds
• The converse of isovariant Borsuk-Ulam results for some Abelian groups
• Isovariant maps from free \(C_n\)-manifolds to representation spheres
• Topological spherical space form problem. III: Dimensional bounds and smoothing
• Transformation groups
• Isovariant maps and the Borsuk-Ulam theorem
• Die Klassen der Abbildungen der \(n\)-dimensionalen Polyeder auf die \(n\)-dimensionale Sphäre
• The degrees of maps between manifolds
• The weak isovariant Borsuk-Ulam theorem for compact Lie groups
• On the equivariant Hopf theorem
• Geometric methods in degree theory for equivariant maps
• Isovariant Borsuk-Ulam results for pseudofree circle actions and their converse
• The classification of 𝐺-spaces

This page was built for publication: A Hopf type classification theorem for isovariant maps from free \(G\)-manifolds to representation spheres