2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76482We define a subcategory of the category of diffeological spaces, which contains smooth manifolds, the diffeomorphism subgroups and its coadjoint orbits. In these spaces we construct a tangent bundle, vector fields and a de Rham cohomology.7 pages, Plain TeXDifferential Geometry57R55, 58B10text