| Résume | Suppose that a set is definable in the expansion of the real
field by restricted analytic functions, and is also definable in the
expansion of the real field by the restricted exponential function
together with all real power functions. Then the set is definable
using just the restricted exponential function. So additional
exponents can be avoided. I will discuss the general result behind
this, and how it can be seen as a polynomially bounded version of an
old conjecture of van den Dries and Miller. This is joint work with
Olivier Le Gal. |
