Mild Parameterization in O-Minimal Structures
نویسنده
چکیده
This work stems from an ongoing investigation into the distribution of rational points lying on particular sets in R. This is a question within transcendental number theory, but it appears that the model theory of o-minimal structures is a very suitable context in which to consider it. The origins of this current research lie in work of Bombieri and Pila ([1]), which established various estimates on the number of integral points on planar curves. The main theorem of this paper was recast by Pila, in [5], as a bound on the number of rational points with less than a certain height:
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