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Hyperplane mass partitions via relative equivariant obstruction theory

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Publication:321878
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zbMath1361.55007arXiv1509.02959MaRDI QIDQ321878

Günter M. Ziegler, Florian Frick, Albert Haase, Pavle V. M. Blagojević

Publication date: 14 October 2016

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02959

zbMATH Keywords

obstructionsequivariant cohomologyGray codesmass partition problem


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15) Helly-type theorems and geometric transversal theory (52A35) Euclidean analytic geometry (51N20) Homology with local coefficients, equivariant cohomology (55N25)


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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, Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments, Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited, Fair Division and Generalizations of Sperner- and KKM-type Results, More bisections by hyperplane arrangements, The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg, Splitting Necklaces, with Constraints



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