A topological hypothesis was omitted during the statement of the results in [P. Ferraty and P. Vieu, Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination, Nonparamet. Statist. 16 (2004), pp. 111-125]. This erratum states this additional hypothesis. It also provides a wide class of examples of functional spaces of statistical interest for which this new hypothesis is satisfied.