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Ana Colubi J. S. Domí nguez-Menchero Miguel Ló pez-Dí az Dan Ralescu 《Proceedings of the American Mathematical Society》2002,130(11):3237-3242
In this paper a representation of random upper semicontinuous functions in terms of -valued random elements is stated. This fact allows us to consider for the first time a complete and separable metric, the Skorohod one, on a wide class of upper semicontinuous functions. Finally, different relevant concepts of measurability for random upper semicontinuous functions are studied and the relationships between them are analyzed.
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