2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60297This paper presents a natural extension to foliated spaces of the following result due to Gromov : the h-principle for open, invariant differential relations is valid on open manifolds. The definition of openness for foliated spaces adopted here involves a certain type of Morse functions. Consequences concerning the problem of existence of regular Poisson structures, the original motivation for this work, are presented.48 pages with 1 figuresDifferential Geometry53C23; 57R17; 53D17text