Additive colourful Carathéodory type results with an application to radii

Abstract

In this paper we study the behavior of the circumradius with respect to the Minkowski addition in generalized Minkowski spaces. To do so, we solve additive colourful Carathéodory type results, under certain equilibria conditions.

14 pages, 4 figures We have appliedd a small correction to Conjecture 4.2, since the previous version had a mistake when the dimension of the space was odd