Additive colourful Carath\'eodory type results with an application to radii
Metric Geometry
2019-07-19 v3
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 Carath\'eodory type results, under certain equilibria conditions.
Cite
@article{arxiv.1712.03416,
title = {Additive colourful Carath\'eodory type results with an application to radii},
author = {Matthias Brugger and Maximilian Fiedler and Bernardo González Merino and Anja Kirschbaum},
journal= {arXiv preprint arXiv:1712.03416},
year = {2019}
}
Comments
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