Submission date: 31 March 2016.

Abstract:

In this paper we shall prove that any primitive finitely homogeneous structure with a supersimple theory satisfying a generalized amalgamation property is a random structure. This generalizes a result of Koponen for binary structures under additional geometrical assumptions. Furthermore, we point out a relation between generalized amalgamation, triviality and quantifier elimination in simple theories.

Mathematics Subject Classification:

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Full text arXiv 1603.09694: pdf, ps.