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math.LO2022
Discrete sets definable in strong expansions of ordered Abelian groups
Alfred Dolich, John Goodrick
We study the structure of infinite discrete sets D definable in expansions of ordered Abelian groups whose theories are strong and definably complete, with particular emphasis on t…
math.LO2014
Representing Scott sets in algebraic settings
Alf Dolich, Julia Knight, Karen Lange +1
We prove that for every Scott set there are -saturated real closed fields and models of Presburger arithmetic.