Representing Scott sets in algebraic settings

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arxiv 1407.5612 v1 pith:TRC5MVKU submitted 2014-07-21 math.LO

Alf Dolich , Julia Knight , Karen Lange , David Marker This is my paper

classification math.LO

keywords scottalgebraicarithmeticclosedeveryfieldsmodelspresburger

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We prove that for every Scott set $S$ there are $S$-saturated real closed fields and models of Presburger arithmetic.