Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass partition problem

DOI10.1090/tran/7528zbMath1396.52011arXiv1502.02975OpenAlexW2963261547WikidataQ123117191 ScholiaQ123117191MaRDI QIDQ4580342

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

Publication date: 15 August 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02975

zbMATH Keywords

Grünbaum-Hadwiger-Ramos hyperplane mass partition problem

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Helly-type theorems and geometric transversal theory (52A35) Homology with local coefficients, equivariant cohomology (55N25) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

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 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, Unnamed Item, Ham-sandwich cuts and center transversals in subspaces, Measure partitions via Fourier analysis. II: Center transversality in the \({{L}^{2}}\)-norm for complex hyperplanes, Dold's theorem from viewpoint of strong compatibility graphs, Ham-Sandwich Cuts and Center Transversals in Subspaces, More bisections by hyperplane arrangements, CUTTING A PART FROM MANY MEASURES, The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg, Splitting Necklaces, with Constraints

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