On the algebraic points of a definable set

@article{Pila2009OnTA,
  title={On the algebraic points of a definable set},
  author={J. Pila},
  journal={Selecta Mathematica},
  year={2009},
  volume={15},
  pages={151-170}
}
  • J. Pila
  • Published 2009
  • Mathematics
  • Selecta Mathematica
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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