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math.MG2009★ 3 cited
An interval version of separation by semispaces in max-min convexity
Viorel Nitica, Sergei Sergeev
We study separation of a closed box from a max-min convex set by max-min semispace. This can be regarded as an interval extension of known separation results. We give a constructiv…
math.MG2009★ 3 cited
On hyperplanes and semispaces in max-min convex geometry
Viorel Nitica, Sergei Sergeev
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 a…