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Strong theories of ordered abelian groups

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.

preprint2016arXivOpen access
Alfred DolichJohn Goodrick
math.LO
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Alfred DolichJohn Goodrick

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