2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165519We prove that the functor $\Hat{P}$ of Radon probability measures transforms any open map between completely metrizable spaces into a soft map. This result is applied to establish some properties of Milyutin maps between completely metrizable spaces.14 pagesGeneral TopologyFunctional Analysis54C60(Primary), 60B05(Secondary)Probability measures and Milyutin maps between metric spacestext