Cohomologie de Cech des espaces difféologiques
Monday, February 18, 1991
In this preprint, never published, I define the Cech homology of diffeological spaces (called here “differential spaces”) and I showed the relation between the associated cohomology and the De Rham cohomology. I interpret the obstruction to the first De Rham homomorphism as the classes of (R,+) principal bundles over the space. “Bi-complexe cohomologique des espaces differentiables” — Dernière version du Preprint CPT CNRS CPT-88/P.2193. You can also download the1988 Original Version here : “Une Cohomologie de Cech etc.” English version: Cech-De-Rham Bicomplex in Diffeology 2019