On hyperplanes and semispaces in max-min convex geometry
Metric Geometry
2014-01-16 v1
Abstract
The concept of separation by hyperplanes is fundamental for convex geometry and its tropical (max-plus) analogue. However, analogous separation results in max-min convex geometry are based on semispaces. This paper answers the question which semispaces are hyperplanes and when it is possible to classically separate by hyperplanes in max-min convex geometry.
Cite
@article{arxiv.0910.0557,
title = {On hyperplanes and semispaces in max-min convex geometry},
author = {Viorel Nitica and Sergei Sergeev},
journal= {arXiv preprint arXiv:0910.0557},
year = {2014}
}