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arXiv · 1011.0120

Generic expansions of countable models

Silvia Barbina·Domenico Zambella
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Abstract

We compare two different notions of generic expansions of countable saturated structures. One kind of genericity is related to model-companions and to amalgamation constructions \'a la Hrushovski-Fra\"iss\'e. Another notion of generic expansion is defined via topological properties and Baire category theory. The second type of genericity was first formulated by Truss for automorphisms. We work with a later generalization, due to Ivanov, to finite tuples of predicates and functions.

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Silvia Barbina, Domenico Zambella. 2010-10-31. Generic expansions of countable models. https://doi.org/10.1215/00294527-1722728

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