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

Annals of Pure and Applied Logic 61 (3):223-239 (1993)
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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 is an ordered reduct of ,<,+,·,ex whose theory T does not have the CF property then, given any model of T, a real closed field is definable on a subinterval of

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10.1016/0168-0072(93)90221-x

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Additive reducts of real closed fields.David Marker, Ya'acov Peterzil & Anand Pillay - 1992 - Journal of Symbolic Logic 57 (1):109-117.
One theorem of Zil′ber's on strongly minimal sets.Steven Buechler - 1985 - Journal of Symbolic Logic 50 (4):1054-1061.

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