On hyperplanes and semispaces in max-min convex geometry
classification
🧮 math.MG
keywords
convexgeometryhyperplanesmax-minsemispacesseparationanalogousanalogue
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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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