Obstacles for splitting multidimensional necklaces

DOI10.1090/S0002-9939-2015-12611-1zbMath1320.05136arXiv1304.5390OpenAlexW2022460207MaRDI QIDQ2944841

Michał Lasoń

Publication date: 8 September 2015

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

Full work available at URL: https://arxiv.org/abs/1304.5390

zbMATH Keywords

necklace splittingmeasurable coloringmass equipartitionmultidimensional necklace

Mathematics Subject Classification ID

Extremal set theory (05D05) Connections of general topology with other structures, applications (54H99) Combinatorial complexity of geometric structures (52C45) General field theory (12E99)

Related Items (1)

A survey of mass partitions

Cites Work

• The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes
• Topology and combinatorics of partitions of masses by hyperplanes
• Splitting necklaces
• Non-repetitive colorings of infinite sets
• Equipartition of mass distributions by hyperplanes
• Splitting multidimensional necklaces
• Bisection of Circle Colorings
• Splitting Multidimensional Necklaces and Measurable Colorings of Euclidean Spaces
• Splitting necklaces and measurable colorings of the real line
• The Borsuk-Ulam Theorem and Bisection of Necklaces
• A Moment Problem in L 1 Approximation
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
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