Cech-De-Rham Bicomplex in Diffeology
June 21, 2019 Update January 27, 2022
This article is an improved version of a preprint, written in French and never published, that proposes a Čech 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.


To be published in the “Israel Journal of Mathematics”.http://www.ma.huji.ac.il/~ijmath/shapeimage_3_link_0