A Continuous Version of the Borsuk-Ulam Theorem
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Publication:3923268
DOI10.2307/2044327zbMath0469.55003OpenAlexW4244900567MaRDI QIDQ3923268
Publication date: 1981
Full work available at URL: https://doi.org/10.2307/2044327
cohomological dimensionStiefel-Whitney classparametrized Borsuk-Ulam theoremfibre preserving mapn-sphere bundle with the antipodal involution
Sphere bundles and vector bundles in algebraic topology (55R25) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)
Related Items (14)
Borsuk-Ulam theorem for the loop space of a sphere ⋮ Antipodal coincidence sets and stronger forms of connectedness ⋮ Topology and combinatorics of partitions of masses by hyperplanes ⋮ Borsuk-Ulam theorems and their parametrized versions for spaces of type \((a,b)\) ⋮ On the length of cohomology spheres ⋮ Aspects of the Borsuk-Ulam theorem ⋮ Borsuk-Ulam theorems for elementary abelian 2-groups ⋮ Maps of Stiefel manifolds and a Borsuk–Ulam theorem ⋮ Isovariant maps and the Borsuk-Ulam theorem ⋮ A Note on the Borsuk-Ulam Theorem ⋮ Parametrized Borsuk-Ulam Theorems for Multivalued Maps ⋮ Some remarks on the parametrized Borsuk-Ulam theorem ⋮ The Tverberg-Vrećica problem and the combinatorial geometry on vector bundles ⋮ Zero sets of equivariant maps from products of spheres to Euclidean spaces
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