O-minimality of the open core is not an elementary property, shown via a counterexample expansion of (Q, <) whose elementary superstructures can lack the property.
Math.,162(3):193–208 (1999)
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O-minimal open core is not an elementary property
O-minimality of the open core is not an elementary property, shown via a counterexample expansion of (Q, <) whose elementary superstructures can lack the property.