Structures having o-minimal open core
نویسندگان
چکیده
منابع مشابه
Structures Having O-minimal Open Core*
The open core of an expansion of a dense linear order is its reduct, in the sense of definability, generated by the collection of all of its open definable sets. In this paper, expansions of dense linear orders that have o-minimal open core are investigated, with emphasis on expansions of densely ordered groups. The first main result establishes conditions under which an expansion of a densely ...
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Let T be a consistent o-minimal theory extending the theory of densely ordered groups and let T ′ be a consistent theory. Then there is a complete theory T ∗ extending T such that T is an open core of T ∗, but every model of T ∗ interprets a model of T ′. If T ′ is NIP, T ∗ can be chosen to be NIP as well. From this we deduce the existence of an NIP expansion of the real field that has no dista...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2009
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-09-04908-3