The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes

DOI10.1016/j.topol.2011.05.008zbMath1225.55002arXiv0704.1943OpenAlexW1976153526MaRDI QIDQ554387

Günter M. Ziegler, Pavle V. M. Blagojević

Publication date: 4 August 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1943

zbMATH Keywords

equivariant cohomologySerre spectral sequenceBockstein spectral sequenceDihedral groupFadell-Husseini indexMass partitions

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 (16)

Hyperplane equipartitions plus constraints ⋮ Measure partitions using hyperplanes with fixed directions ⋮ 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 ⋮ Polynomial partitioning for several sets of varieties ⋮ Measure equipartitions via finite Fourier analysis ⋮ Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited ⋮ Functions, measures, and equipartitioning convex \(k\)-fans ⋮ Measure partitions via Fourier analysis. II: Center transversality in the \({{L}^{2}}\)-norm for complex hyperplanes ⋮ On highly regular embeddings ⋮ Spectral sequences in combinatorial geometry: cheeses, inscribed sets, and Borsuk-Ulam type theorems ⋮ On algebraic problems behind the Brouwer degree of equivariant maps ⋮ More bisections by hyperplane arrangements ⋮ Equilateral polygons in a Euclidean space and on deformed spheres via Fadell-Husseini index ⋮ Equivariant topology of configuration spaces

Cites Work

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