On partitions of N points
Donald Stevenson Watson · Proceedings of the Edinburgh Mathematical Society · 1969
In a paper (1) by Harding there is a tacit invitation to seek the connection between the following two problems: (i) Find the number, ηk(N), of regions into which a k-dimensional space is partitioned by a set of N (k- l)-dimensional hyperplanes. (ii) Find the number, vk(N), of distinct partitions of a given set of N points in a k-dimensional space E that can be induced by (k- 1)-dimensional hyperplanes.