The rational points of a definable set

Jonathan Pila, A. J. Wilkie

Type: Article

Publication Date: 2006-06-14

Citations: 182

DOI: https://doi.org/10.1215/s0012-7094-06-13336-7

Abstract

Let X⊂Rn 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

Locations

Duke Mathematical Journal - View
MIMS EPrints (University of Southampton) - View - PDF

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