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arXiv · 1603.09694

Generalized amalgamation and homogeneity

Daniel Palacín
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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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Daniel Palacín. 2016-03-31. Generalized amalgamation and homogeneity. https://arxiv.org/abs/1603.09694

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