Rosario Mennuni
Published 2020-08-04Version 1
We study the monoid of global invariant types modulo domination-equivalence in the context of o-minimal theories. We reduce its computation to the problem of proving that it is generated by classes of 1-types. We show this to hold in Real Closed Fields, where generators of this monoid correspond to invariant convex subrings of the monster model. Combined with arxiv:1702.06504, this allows us to compute the domination monoid in the weakly o-minimal theory of Real Closed Valued Fields.
Strongly NIP almost real closed fields
The domination monoid in henselian valued fields
On definable groups in real closed fields with a generic derivation, and related structures: I
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