GENERALIZED AMALGAMATION AND HOMOGENEITY

Author:

PALACÍN DANIEL

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference14 articles.

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1. Supersimple ω-categorical theories and pregeometries;Annals of Pure and Applied Logic;2019-12

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