A viewpoint on amalgamation classes

Barbina, Silvia and Zambella, Domenico (2010). A viewpoint on amalgamation classes. Commentationes Mathematicae Universitatis Carolinae, 51(4) pp. 681–691.

URL: http://www.emis.de/journals/CMUC/

Abstract

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.

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