All Questions
Tagged with grothendieck-topology cech-cohomology
2 questions
6
votes
1
answer
343
views
Is there a notion of Čech groupoid of a cover of an object in a Grothendieck site?
Given a topological space $X$, and a cover $\mathcal{U} :=\cup_{\alpha \in I}U_{\alpha}$ of $X$, one can define a groupoid called Čech groupoid $C(\mathcal{U})$ of the cover $\mathcal{U}$ by $\...
5
votes
0
answers
351
views
cech cohomology in topos
Hi,
The following result seems to be well known, but I can't come up with a proof.
Suppose that $C$ is a topos and that $F\to G$ is an effective epimorphism in $C$. If $P$ is
any abelian sheaf on $C$...