Barbina, S.; Zambella, D. A viewpoint on amalgamation classes. (English) Zbl 1224.03011 Commentat. Math. Univ. Carol. 51, No. 4, 681-691 (2010). Summary: 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. MSC: 03C10 Quantifier elimination, model completeness, and related topics 03C07 Basic properties of first-order languages and structures 03C30 Other model constructions Keywords:universal homogeneous model; model companion; amalgamation class PDFBibTeX XMLCite \textit{S. Barbina} and \textit{D. Zambella}, Commentat. Math. Univ. Carol. 51, No. 4, 681--691 (2010; Zbl 1224.03011) Full Text: arXiv EuDML EMIS