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GENERALIZED AMALGAMATION AND HOMOGENEITY.

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 relation...

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Publicado en:Journal of Symbolic Logic Vol. 82; no. 4; pp. 1409 - 1422
Autor principal: PALACÍN, DANIEL
Formato: Artículo
Publicado: Cambridge University Press Dec2017
Materias:
Homogeneity
Mathematical analysis
Reversible computing
Numerical analysis
Limits (Mathematics)
Acceso en línea:Ver este registro en EBSCOhost
Sumario: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.