A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard

Ehud Hrushovski; Ya'acov Peterzil

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A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard

Ehud Hrushovski·Ya'acov Peterzil

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Abstract

We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.

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Ehud Hrushovski, Ya'acov Peterzil. 2005-09-28. A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard. https://arxiv.org/abs/math/0509658

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