## 2007.198: The rational points of a definable set

2007.198:
J. Pila and A. J. Wilkie
(2006)
*The rational points of a definable set.*
Duke Mathematical Journal, 133 (3).
pp. 591-616.
ISSN 0012-7094

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DOI: 10.1215/S0012-7094-06-13336-7

## 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 2000 > 03 Mathematical logic and foundations MSC 2000 > 11 Number theory |

MIMS number: | 2007.198 |

Deposited By: | Mrs Louise Healey |

Deposited On: | 21 November 2007 |

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