On hyperplanes and semispaces in max-min convex geometry

Details On hyperplanes and semispaces in max-min convex geometry On hyperplanes and semispaces in max-min convex geometry

2009-10-03

arxiv.org/abs/0910.0557v1

Mathematics

Metric Geometry

Scientific paper

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.

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