Characterizations of Radon partitions
William Hare, John W. Kenelly · Pacific Journal of Mathematics · 1971
A Radon partition of a subset P of R d is a pair {A, B) satisfying (i) A Ό B = P, (ii) A f) B = 0 and (iii) conv A n conv B ψ 0. The sets A and B are called components of the partition.The theorem of Radon says that for any Pa R