  Molino's description of Riemannian foliations on compact manifolds is
generalized to the setting of compact equicontinuous foliated spaces, in the
case where the leaves are dense. In particular, a structural local group is
associated to such a foliated space. As an application, we obtain a partial
generalization of results by Carri\`ere and Breuillard-Gelander, relating the
structural local group to the growth of the leaves.
