De Rham cohomology of diffeological spaces and foliations

G. Hector, E. Macías-Virgós, E. Sanmartín-Carbón

Let $(M,\mathcal{F})$ be a foliated manifold. We prove that there is a canonical isomorphism between the complex of base-like forms ${\Omega }_b^{\ast }(M,\mathcal{F})$ of the foliation and the…