Companionability Characterization for the Expansion of an O-minimal Theory by a Dense Subgroup

13 Mar 2020 Alexi Block Gorman

This paper provides a full characterization for when the expansion of a complete o-minimal theory by a unary predicate that picks out a divisible dense and codense subgroup has a model companion. This result is motivated by criteria and questions introduced in the recent works concerning the existence of model companions, as well as preservation results for some neostability properties when passing to the model companion... (read more)

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  • 03C10, 03C40, 03C45, 03C64