The domination monoid in o-minimal theories
Keyword(s):
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 [Formula: see text]-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 [C. Ealy, D. Haskell and J. Maríková, Residue field domination in real closed valued fields, Notre Dame J. Formal Logic 60(3) (2019) 333–351], this allows us to compute the domination monoid in the weakly o-minimal theory of Real Closed Valued Fields.
Keyword(s):
Keyword(s):
1988 ◽
Vol 53
(1)
◽
pp. 146-159
◽
Keyword(s):
2011 ◽
Vol 39
(9)
◽
pp. 3166-3177
◽
1996 ◽
Vol 28
(1)
◽
pp. 7-14
◽