Tverberg numbers for cellular bipartite graphs

摘要

1. Introduction. The well-known theorem of Radon (1921) says that each set S ofmorj than n + 1 points in an n-dimensional linear space R" can be partitioned into two disjoin! subsets such that their convex hulls have a point in common. In 1966 Tverberg [16] has given a far-reaching generalization by taking partitions of S into a finite number of subsets.