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Preprint Number 116

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116. Roman Wencel
On expansions of weakly o-minimal non-valuational structures by convex predicates
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Submission date: 30 January 2008. Revised on 8 July 2008.

Abstract:

I prove that if M is a wakly o-minimal non-valuational expansion of an ordered group, then an expansion of M by a family of non-valuational predicates (i.e. determining only non-valuational Dedekind cuts) is also of non-valuational type.

Mathematics Subject Classification: 03C64

Keywords and phrases: weakly o-minimal structure, non-valuational, convex predicate, expansion

Full text, Version of 8 June 2008: pdf, dvi, ps.


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