Abstract:We establish categorical dualities between varieties of isotropic median algebras and suitable categories of operational and relational topological structures. We follow a general duality theory of B.A. Davey and H. Werner. The duality results are used to describe free isotropic median algebras. If the number of free generators is less than five, the description is detailed.
Keywords: median algebra,duality
AMS Subject Classification: 08B20, 06C05, 06E15, 18A40