Finite-rank median algebras satisfy rank equals independence number of median-preserving maps to [0,1], implying a Helly-type selection principle and tameness of continuous group actions by median automorphisms.
Coulembier: Algebraic geometry in tensor categories
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Tameness of actions on finite rank median algebras
Finite-rank median algebras satisfy rank equals independence number of median-preserving maps to [0,1], implying a Helly-type selection principle and tameness of continuous group actions by median automorphisms.
- On geometrically reductive tensor categories