The rational points of a definable set

The rational points of a definable set

Let X ⊂ R be a set that is definable in an o-minimal expansion of R. This paper shows that, in a suitable sense, there are very few rational points of X that do not lie on some connected semialgebraic subset of X of positive dimension. 2000 Mathematics Subject Classification: 11G99, 03C64

Distribution of Rational Points: A Survey

Density of the Periodic Points in the Interval Set

The dynamical system (f,R) is introduced and some of its properties are investigated. It is proven that there is an invariant set Λ on which the periodic points of f are dense.

Points at Rational Distance from the Vertices of a Unit Polygon

distribution of rational points: a survey