A generalisation of Sylvester's problem to higher dimensions
Metric Geometry
2016-08-11 v1
Abstract
In this article we consider to be a set of points in -space with the property that any points of span a hyperplane and not all the points of are contained in a hyperplane. The aim of this article is to introduce the function , which denotes the minimal number of hyperplanes meeting in precisely points, minimising over all such sets of points with .
Keywords
Cite
@article{arxiv.1608.03189,
title = {A generalisation of Sylvester's problem to higher dimensions},
author = {Simeon Ball and Joaquim Monserrat},
journal= {arXiv preprint arXiv:1608.03189},
year = {2016}
}