On the existence of \(G\)-equivariant maps

DOI10.1007/s00574-012-0019-xzbMath1273.55001OpenAlexW1996430936MaRDI QIDQ1930317

Francielle R. C. Coelho, Denise de Mattos, Edivaldo L. dos Santos

Publication date: 10 January 2013

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-012-0019-x

zbMATH Keywords

Borsuk-Ulam type resultsnon-existence of equivariant maps

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fixed points and coincidences in algebraic topology (55M20)

Related Items

Borsuk-Ulam theorems and their parametrized versions for spaces of type \((a,b)\) ⋮ Cohomology algebra of orbit spaces of free involutions on the product of projective space and 4-sphere ⋮ Fixed point sets and orbit spaces of wedge of three spheres ⋮ A Borsuk-Ulam type theorem for the product of a projective space and 3-sphere ⋮ Fixed point free actions of spheres and equivariant maps ⋮ FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS ⋮ Indices of a finitistic space with \(\bmod 2\) cohomology \(\mathbb{R} P^n \times \mathbb{S}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transformation groups
• On the van Kampen-Flores theorem
• The Borsuk-Ulam theorem for general spaces
• A parametrized Borsuk-Ulam theorem for a product of spheres with free \(\mathbb Z_{p}\)-action and free \(S^1\)-action
• A Borsuk-Ulam theorem for compact Lie group actions
• The spectrum of an equivariant cohomology ring. I. II
• On the index ofG-spaces
• The cohomology rings of the orbit spaces of free transformation groups of the product of two spheres