A Borsuk-Ulam type theorem for a product of spheres

DOI10.1016/0166-8641(95)90004-7zbMath0827.55009OpenAlexW1982144420MaRDI QIDQ1892167

Basil Shaju Koikara, Himadri Kumar Mukerjee

Publication date: 17 December 1995

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)90004-7

zbMATH Keywords

characteristic polynomialscohomological dimensionBorsuk-Ulam theoremBredon operationConner-Miller classes

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Classical topics in algebraic topology (55M99) Equivariant operations and obstructions in algebraic topology (55S91)

Related Items (7)

Parametrized Borsuk-Ulam theorems for free involutions on \(\mathbb{F} P^m \times \mathbb{S}^3\) ⋮ A Borsuk-Ulam theorem for maps of fibre bundles with manifolds as fibres ⋮ Cohomology algebra of orbit spaces of free involutions on lens spaces ⋮ A parametrized Borsuk-Ulam theorem for a product of spheres with free \(\mathbb Z_{p}\)-action and free \(S^1\)-action ⋮ Borsuk-Ulam theorems and their parametrized versions for \(\mathbb {F}P^m\times \mathbb {S}^3\) ⋮ Some remarks on the parametrized Borsuk-Ulam theorem ⋮ Algebraic topology in India

Cites Work

• Parametrized Borsuk-Ulam theorems
• Continuous maps of manifolds with involution. III
• On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. I
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