Cech-De-Rham Bicomplex in Diffeology
June 21, 2019 Update April 29, 2020
This paper is an improved remake of a preprint, written in French and never published, that proposes a Cech cohomology for diffeological spaces. It is defined as the Hochschild cohomology of a special generating family (see here). I have added the computation of Cech cohomology of the quotients Rn/K where K is a strict subgroup of Rn. The paper ends with an interpretation of the first obstruction of the De Rham theorem in diffeology.


Draft only, for now. Will be submitted for publication after feedback.