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A question of van den Dries and a theorem of Lipshitz and Robinson; Not everything is standard
Published online by Cambridge University Press: 12 March 2014
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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- Copyright © Association for Symbolic Logic 2007
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