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For questions about simplicial sets, simplicial (co)algebras and simplicial objects in other categories; geometric realization, Dold-Kan correspondence, simplicial resolutions etc.

6 votes
1 answer
377 views

Elementary proof of the exactness of Čech complex associated to a hypercovering ("Illusie's ...

Let $\mathcal{E}$ be a sheaf of abelian groups on a topological space (or a site). For an open covering $\mathfrak{U} = (U_i)_i$, it is well known that the augmented Čech complex $0 \to \mathcal{E} \t …
Ingo Blechschmidt's user avatar