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Preprint Number 1248

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1248. Philipp Hieronymi, Travis Nell, Erik Walsberg
Wild theories with o-minimal open core
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Submission date: 7 July 2017

Abstract:

Let T be a complete o-minimal theory extending the theory of densely ordered groups and let T' be any theory. Then there is a theory T^* that has T as its open core, but all of its models interpret 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 distal expansion.

Mathematics Subject Classification: Primary 03C64, Secondary 03C45

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Full text arXiv 1707.02062: pdf, ps.


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