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Nov 21, 2019 at 8:51 comment added user20948 @Mircea It does not seem to be essentially new. See Grothendieck's infinitesimal cohomology in Dix Exposés, or materials of crystalline cohomology, like Stacks Project.
Jun 4, 2010 at 19:40 comment added Mircea The definition of Koch speaks of "assigning a number to infinitesimal simplexes, so that the number is zero if the simplex has two coincident vertices".. this sonds like a nice definition to use for cohomology!
Jun 3, 2010 at 21:22 history answered David Carchedi CC BY-SA 2.5