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Preprint Number 1026
1026. Daniel Palacín
Generalized amalgamation and homogeneity
Submission date: 31 March 2016.
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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