Topology and combinatorics of partitions of masses by hyperplanes

DOI10.1016/j.aim.2005.11.013zbMath1110.68155arXivmath/0310377OpenAlexW2049300118MaRDI QIDQ855777

P. Mani-Levitska, Rade T. Živaljević, Siniša T. Vrećica

Publication date: 7 December 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310377

zbMATH Keywords

equivariant mapsobstruction theorycyclic wordsequipartitions of massescohomological index theory

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Fixed points and coincidences in algebraic topology (55M20)

Related Items (15)

Equipartitions and Mahler volumes of symmetric convex bodies ⋮ Hyperplane equipartitions plus constraints ⋮ A survey of mass partitions ⋮ Mass partitions via equivariant sections of Stiefel bundles ⋮ Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass partition problem ⋮ Obstacles for splitting multidimensional necklaces ⋮ Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments ⋮ Measure equipartitions via finite Fourier analysis ⋮ Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited ⋮ Splitting multidimensional necklaces ⋮ Fair Division and Generalizations of Sperner- and KKM-type Results ⋮ Measure partitions via Fourier analysis. II: Center transversality in the \({{L}^{2}}\)-norm for complex hyperplanes ⋮ Equipartitions of measures in $\mathbb{R}^4$ ⋮ The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes ⋮ Equipartitions of a mass in boxes

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