Почти периодические по Вейлю сечения носителей мерозначных функций

We prove that there exist Weyl almost periodic selections of supports of Weyl almost periodic measure-valued functions $\mathbb R\ni t\to\mu[.;t]\in\mathcal M(U)$ taking values in the space $\mathcal M(U)$ of Borel probability measures defined on a complete separable metric space $U$.