Facially exposed cones are not always nice
Optimization and Control
2013-11-26 v4 Metric Geometry
Abstract
We address the conjecture proposed by Gabor Pataki that every facially exposed cone is nice. We show that the conjecture is true in the three-dimensional case, however, there exists a four-dimensional counterexample of a cone that is facially exposed but is not nice.
Cite
@article{arxiv.1301.1000,
title = {Facially exposed cones are not always nice},
author = {Vera Roshchina},
journal= {arXiv preprint arXiv:1301.1000},
year = {2013}
}