The Stacks project

Remark 7.10.7. In particular this lemma shows that if $\mathcal{U}$ is a refinement of $\mathcal{V}$, and if $\mathcal{V}$ is a refinement of $\mathcal{U}$, then there is a canonical identification $H^0(\mathcal{U}, \mathcal{F}) = H^0(\mathcal{V}, \mathcal{F})$.

Comments (2)

Comment #8572 by Alejandro González Nevado on

SS: A pair of covergins such that each refines the other induces a canonical identification of the corresponding zeroth Čech cohomologies of any presheaf of sets on the site with respect to these two coverings.

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  • 8 comment(s) on Section 7.10: Sheafification

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