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Preprint Number 344
344. Mohammed Belkasmi
Positive model theory and amalgamations
Submission date: 2 August 2011.
We continue the analysis of foundations of positive model theory as introduced by Ben Yaacov and Poizat. The objects of this analysis are h-inductive theories and their models, especially the positively existentially closed ones. We analyze topological properties of spaces of types, introduce forms of quantifier elimination and characterize minimal completions of arbitrary h- inductive theories. The main technical tools consist of various forms of amalgamations in special classes of structures.
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