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Preprint Number 248
248. Viktor Verbovskiy
Dp-minimal theory with a total order is o-stable
Submission date: 12 May 2010.
In this short paper I prove that if the elementary theory of a totally ordered structure is dp-minimal, then it is o-stable. Also I give an example of an o-stable theory which is not dp-minimal, namely, it is the ordered group of reals with a named subgroup of rationals. (The paper is in Russian).
Mathematics Subject Classification: 03B10, 03C52, 03C64
Keywords and phrases: totally ordered structure, dp-minimal, o-stable
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