2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65645Orbits of families of vector fields on a subcartesian space are shown to be smooth manifolds. This allows for a global description of a smooth geometric structure on a family of manifolds in terms of a single object defined on the corresponding family of vector fields. Stratified spaces, Poisson spaces and almost complex spaces are discussed.34 pagesDifferential GeometryPrimary 58A40, Secondary 58F05, 32C15text