Extensions of theorems of Rattray and Makeev

zbMath1282.55008arXiv1011.0869MaRDI QIDQ1947837

Pavle V. M. Blagojević, Roman N. Karasev

Publication date: 26 April 2013

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0869

zbMATH Keywords

measure partitionBorsuk-Ulam type theoremsRattray's theorem

Mathematics Subject Classification ID

Cohomology of groups (20J06) Geometry and structure of normed linear spaces (46B20) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fixed points and coincidences in algebraic topology (55M20) Ramsey theory (05D10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (9)

Hyperplane equipartitions plus constraints ⋮ Colourful categories ⋮ Mass partitions via equivariant sections of Stiefel bundles ⋮ Borsuk-Ulam theorems for elementary abelian 2-groups ⋮ Measure equipartitions via finite Fourier analysis ⋮ Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited ⋮ Measure partitions via Fourier analysis. II: Center transversality in the \({{L}^{2}}\)-norm for complex hyperplanes ⋮ Index of Grassmann manifolds and orthogonal shadows ⋮ Projective center point and Tverberg theorems

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