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GENERALIZED AMALGAMATION AND HOMOGENEITY

GENERALIZED AMALGAMATION AND HOMOGENEITY

Abstract In this paper we shall prove that any 2-transitive finitely homogeneous structure with a supersimple theory satisfying a generalized amalgamation property is a random structure. In particular, this adapts a result of Koponen for binary homogeneous structures to arbitrary ones without binary relations. Furthermore, we point out a relation …