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On the algebraic points of a definable set

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Abstract.

This paper studies diophantine properties of sets definable in an o-minimal structure over the real field. The main theorem of the author’s recent paper with A. J. Wilkie is refined, and used to deduce a strong result on the density of algebraic points of such sets.

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  1. School of Mathematics, University of Bristol, Bristol, BS8 1TW, UK

    Jonathan Pila

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  1. Jonathan Pila
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Correspondence to Jonathan Pila.

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Pila, J. On the algebraic points of a definable set. Sel. math., New ser. 15, 151–170 (2009). https://doi.org/10.1007/s00029-009-0527-8

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  • DOI: https://doi.org/10.1007/s00029-009-0527-8

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