The rational points of a definable set
The rational points of a definable set
复制标题
可定义集合的有理点
DOI：
10.1215/s0012-7094-06-13336-7
复制
发表时间：
2006
影响因子：
2.5
通讯作者：
A. Wilkie
中科院分区：
文献类型：
--
作者：
J. Pila;A. Wilkie
设$X\R^n$是在$R$上的0 -极小结构中可定义的集合。本文在适当的意义上证明了$X$的有理点很少不在$X$的正维连通半代数子集上
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