An interval version of separation by semispaces in max-min convexity
Metric Geometry
2014-01-16 v1
Abstract
We study separation of a closed box from a max-min convex set by max-min semispace. This can be regarded as an interval extension of known separation results. We give a constructive proof of the separation in the case when the box and the max-min convex set satisfy certain condition, and we show that separation is never possible if this condition does not hold. We also study separation of max-min convex sets by boxes and by box and semispace.
Keywords
Cite
@article{arxiv.0910.0566,
title = {An interval version of separation by semispaces in max-min convexity},
author = {Viorel Nitica and Sergei Sergeev},
journal= {arXiv preprint arXiv:0910.0566},
year = {2014}
}