On hyperplanes and semispaces in max-min convex geometry

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.

Cited by in corpus (2)

• On the dimension of max-min convex sets
• An interval version of separation by semispaces in max-min convexity