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Preprint Number 1583

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1583. Erik Walsberg
Dp-minimal expansions of discrete ordered abelian groups

Submission date: 14 March 2019


If Z is a dp-minimal expansion of a discrete ordered abelian group (Z,<,+) and Z does not admit a nontrivial definable convex subgroup then Z is interdefinable with (Z,<,+) and (Z,<,+) is elementarily equivalent to (ℤ,<,+).

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Full text arXiv 1903.06222: pdf, ps.

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