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GENERALIZED AMALGAMATION AND HOMOGENEITY
Published online by Cambridge University Press: 09 November 2017
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 between generalized amalgamation, triviality and quantifier elimination in simple theories.
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- Copyright © The Association for Symbolic Logic 2017
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