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Preprint Number 965
965. Alfred Dolich and John Goodrick
Strong theories of ordered abelian groups
Submission date: 26 November 2015
We consider strong expansions of the theory of ordered abelian groups. We show that the assumption of strength has a multitude of desirable consequences for the structure of definable sets in such theories, in particular as relates to definable infinite discrete sets. We also provide a range of examples of strong expansions of ordered abelian groups which demonstrate the great variety of such theories.
Mathematics Subject Classification: 03C45, 03C64
Keywords and phrases: Ordered groups, abelian groups, NIP, strongly dependent theories.
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