A parametrized version of the Borsuk–Ulam–Bourgin–Yang–Volovikov theorem

DOI10.1142/S1793525314500101zbMath1293.55011MaRDI QIDQ5415804

Benjamin Matschke

Publication date: 16 May 2014

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

zbMATH Keywords

Volovikov's theoremmultiple coincidencesparametrized Borsuk-Ulam type theoremwaist of the sphere theorem

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Maps between classifying spaces in algebraic topology (55R37)

Related Items (2)

Successive spectral sequences ⋮ Fixed point free actions of spheres and equivariant maps

Cites Work

• Waist of the sphere for maps to manifolds
• Optimal bounds for a colorful Tverberg-Vrećica type problem
• Topological transversals to a family of convex sets
• Spectral sequences in combinatorial geometry: cheeses, inscribed sets, and Borsuk-Ulam type theorems
• Homology of the infinite symmetric group
• The genus and the category of configuration spaces
• Relative cohomological index theories
• Parametrized Borsuk-Ulam theorems
• On generalizations of Radon's theorem and the Ham sandwich theorem
• Tverberg's conjecture
• The Tverberg-Vrećica problem and the combinatorial geometry on vector bundles
• A Borsuk-Ulam theorem for maps of fibre bundles with manifolds as fibres
• Theorems of Kakutani and Dyson revisited
• A parametrized Borsuk-Ulam theorem for a product of spheres with free \(\mathbb Z_{p}\)-action and free \(S^1\)-action
• Tverberg's transversal conjecture and analogues of nonembeddability theorems for transversals
• MAPPINGS OF FREE $ {\mathbf Z}_p$-SPACES INTO MANIFOLDS
• Parametrized Borsuk–Ulam problem for projective space bundles
• ON GROMOV'S WAIST OF THE SPHERE THEOREM
• An Extension of the Ham Sandwich Theorem
• An ideal-valued cohomological index theory with applications to Borsuk—Ulam and Bourgin—Yang theorems
• ON THE BOURGIN-YANG THEOREM
• A generalization of Radon's theorem II
• Bundles with periodic maps and mod 𝑝 Chern polynomial
• The mod 2 equivariant cohomology algebras of configuration spaces

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