Zilber's conjecture for some o-minimal structures over the reals

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Abstract

We formulate an analogue of Zilber's conjecture for o-minimal structures in general, and then prove it for a class of o-minimal structures over the reals. We conclude in particular that if M is an ordered reduct of 〈R,<,+,·,ex〉 whose theory T does not have the CF property then, given any model N of T, a real closed field is definable on a subinterval of N.

Original languageEnglish
Pages (from-to)223-239
Number of pages17
JournalAnnals of Pure and Applied Logic
Volume61
Issue number3
DOIs
StatePublished - 11 Jun 1993
Externally publishedYes

ASJC Scopus subject areas

  • Logic

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