A family of dp-minimal expansions of $(\mathbb{Z};+)$

Erik Walsberg; Minh Chieu Tran

arxiv: 1711.04390 · v1 · pith:5QWZ65L2new · submitted 2017-11-13 · 🧮 math.LO

A family of dp-minimal expansions of (mathbb{Z};+)

Minh Chieu Tran , Erik Walsberg This is my paper

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keywords mathbbdp-minimalfamilycontaincontinuum-sizecyclicallydefineexpanding

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We show that the cyclically ordered-abelian groups expanding $(\mathbb{Z};+)$ contain a continuum-size family of dp-minimal structures such that no two members define the same subsets of $\mathbb{Z}$.

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A family of dp-minimal expansions of (mathbb{Z};+)

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