The rational points of a definable set
Pila, J. ; Wilkie, A. J.
Duke Math. J., Tome 131 (2006) no. 1, p. 591-616 / Harvested from Project Euclid
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Let $X\subset\mathbb{R}^n$ be a set that is definable in an o-minimal structure over ${\mathbb R}$ . This article shows that in a suitable sense, there are very few rational points of $X$ which do not lie on some connected semialgebraic subset of $X$ of positive dimension
Publié le : 2006-06-15
Classification:  11G99,  03C64 
@article{1150201203,
     author = {Pila, J. and Wilkie, A. J.},
     title = {The rational points of a definable set},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 591-616},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150201203}
}

Pila, J.; Wilkie, A. J. The rational points of a definable set. Duke Math. J., Tome 131 (2006) no. 1, pp.  591-616. http://gdmltest.u-ga.fr/item/1150201203/