Geodesic
A viewpoint on amalgamation classes
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 681-691.

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We give a self-contained introduction to universal homogeneous models (also known as rich models) in a general context where the notion of morphism is taken as primitive. We produce an example of an amalgamation class where each connected component has a saturated rich model but the theory of the rich models is not model-complete.
Classification : 03C07, 03C10, 03C30
Keywords: model theory; universal homogeneous model; model companion; amalgamation class 
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Barbina, Silvia; Zambella, Domenico. A viewpoint on amalgamation classes. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 681-691. http://geodesic.mathdoc.fr/item/CMUC_2010__51_4_a10/