The rational points of a definable set

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
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:	https://eprints.maths.manchester.ac.uk/id/eprint/942

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