Erratum

Dear all, On September 14th, I mentioned a result of Maltsiniotis stating that the cube category with connections is a strict test category. I added that Grothendieck conjectured in "Pursuing Stacks" that "an analog of the Dold-Kan correspondence holds for every strict test category". Stated this way, this is false, as Clemens Berger and Georges Maltsiniotis pointed out. A counter-example is provided by any finite product $\Delta \times \ldots \times \Delta$. (That is, a product of the simplex category with itself.) The mistake is mine, of course: the conjecture about the "Dold-Kan type relation" stated by Grothendieck is weaker than that. Sorry about that! Jonathan [For admin and other information see: http://www.mta.ca/~cat-dist/ ]