Topology and Combinatorics of Partitions of Masses by Hyperplanes

Peter Mani-Levitska, Sinisa Vrecica, Rade Zivaljevic

One of our result is that 5 measurable sets in $R^8$ always admit an equipartition by 2 hyperplanes. This is an instance of a general equipartition problem (formulated by B. Gr{\"…