Conjectures in Combinatorial and Convex Geometry

do not overlap pairwise (their interiors are pairwise disjoint). This conjecture was formulated in [4], and a particular case was proved for the so called hierarchically a ne partitions. (2) (The generalized Gr unbaum conjecture) Consider a family F of translates of a convex compact set K in R. Suppose that any d or less sets in F have a common point. Then… (More)