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Preprint Number 951

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951. Philipp Hieronymi, Travis Nell
Distal and Non-Distal Pairs
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Submission date: 31 October 2015.

Abstract:

The aim of this note is to determine whether certain non-o-minimal expansions of o-minimal theories which are known to be NIP, are also distal. We observe that while tame pairs of o-minimal structures and the real field with a discrete multiplicative subgroup have distal theories, dense pairs of o-minimal structures and related examples do not.

Mathematics Subject Classification: Primary 03C64 Secondary 03C45

Keywords and phrases:

Full text arXiv 1511.00130: pdf, ps.


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