Generalization of the proof on the existence of hidden measurements to experiments with an infinite set of outcomes

We generalize Aerts' proof concerning the existence of hidden measurements for experiments withn outcomes to general experiments with an infinite set of outcomes. More specific we prove that, if is a set of experiments on an entityS with a set of pure states , and alle are such that the outcomes can be represented as a measurable subset of a finite dimensional real space, on which for every initial state of the entity there exists a probability measure, then there exists a hidden measurement representation for this set of experiments.Research Assistant of the National Fund for Scientific Research.Supported by Flanders' Federale Diensten voor Wetenschappelijke, Technische en Culturele Aangelegenheden in the framework of IUAP-III No 9.