Maximal small extensions of o-minimal structures
نویسنده
چکیده
A proper elementary extension of a model is called small if it realizes no new types over any finite set in the base model. We answer a question of Marker, and show that it is possible to have an o-minimal structure with a maximal small extension. Our construction yields such a structure for any cardinality. We show that in some cases, notably when the base structure is countable, the maximal small extension has maximal possible cardinality.
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عنوان ژورنال:
- Math. Log. Q.
دوره 56 شماره
صفحات -
تاریخ انتشار 2010