Generalized amalgamation and homogeneity
Logic
2016-10-19 v3
Abstract
In this paper we shall prove that any -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.
Cite
@article{arxiv.1603.09694,
title = {Generalized amalgamation and homogeneity},
author = {Daniel Palacín},
journal= {arXiv preprint arXiv:1603.09694},
year = {2016}
}