Pila, J. and Wilkie, A. J.
(2006)
*The rational points of a definable set.*
Duke Mathematical Journal, 133 (3).
pp. 591-616.
ISSN 0012-7094

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## Abstract

Let $X\R^n$ be a set that is definable in an o-minimal structure over $R$. 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

Item Type: | Article |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 21 Nov 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/942 |

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