Cech-De-Rham Bicomplex in Diffeology
June 21, 2019
 
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.

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