1. On hyperplanes and semispaces in max-min convex geometry
- Creator:
- Nitica, Viorel and Sergeev, Sergeĭ
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- tropical convexity, fuzzy algebra, and separation
- Language:
- English
- Description:
- The concept of separation by hyperplanes and halfspaces 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public