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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.LO2022
Topological properties of definable sets in ordered Abelian groups of burden 2
Alfred Dolich, John Goodrick
We obtain some new results on the topology of unary definable sets in densely ordered Abelian groups of burden groups of burden 2. In the special case in which the structure has dp…