On dp-minimal ordered structures. (English) Zbl 1220.03037

Summary: We show basic facts about dp-minimal ordered structures. The main results are: dp-minimal groups are abelian-by-finite-exponent, in a divisible ordered dp-minimal group, any infinite set has non-empty interior, and any theory of pure tree is dp-minimal.


03C64 Model theory of ordered structures; o-minimality
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