Computational topology of equipartitions by hyperplanes

DOI10.12775/TMNA.2015.004zbMath1361.52008arXiv1111.1608OpenAlexW2963579920MaRDI QIDQ519435

Rade T. Živaljević

Publication date: 4 April 2017

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

Full work available at URL: https://arxiv.org/abs/1111.1608

zbMATH Keywords

obstruction theorycomputational topologyequipartitions of masses

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Obstruction theory in algebraic topology (55S35) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Other problems of combinatorial convexity (52A37)

Related Items (6)

Hyperplane equipartitions plus constraints ⋮ Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass partition problem ⋮ Measure equipartitions via finite Fourier analysis ⋮ Measure partitions via Fourier analysis. II: Center transversality in the \({{L}^{2}}\)-norm for complex hyperplanes ⋮ On algebraic problems behind the Brouwer degree of equivariant maps ⋮ Splitting Necklaces, with Constraints

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