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- W2100633765 abstract "We prove that each measure $mu$ in $R^4$ admits an equipartition by 4 hyperplanes, provided that it is symmetric with respect to a 2-dimensional, affine subspace $L$ of $R^4$. Moreover we show, by computing the complete obstruction in the relevant group of normal bordisms, that without the symmetry condition, a naturally associated topological problem has a negative solution. The computation is based on the Koschorke's exact singularity sequence and the remarkable properties of the essentially unique, balanced binary Gray code in dimension 4." @default.
- W2100633765 created "2016-06-24" @default.
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- W2100633765 date "2004-12-23" @default.
- W2100633765 modified "2023-09-25" @default.
- W2100633765 title "Equipartitions of measures in $mathbb{R}^4$" @default.
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