Facially exposed cones are not always nice

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.

Citation

CRN, University of Ballarat

Article

Download

View Facially exposed cones are not always nice