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Timeline for Gerbes and Stacks

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Nov 12, 2014 at 19:57 comment added Dan Petersen I don't really understand you so at least one of us is confused. The fiber over a point of $U_i$ is a groupoid with one object and morphism set $BGL(1)$.
Nov 12, 2014 at 16:13 comment added Matthias Ludewig Ok, so this becomes a stack (which is a gerbe as in the stack definition) on the big site of $M$. There is one object in each fiber for each index $i$ and one morphism from $i$ to $j$ if $U_{ij} \neq \emptyset$. Here I strictified the composition. Am I right?
Nov 12, 2014 at 11:08 history answered Dan Petersen CC BY-SA 3.0