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In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.
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Gluing together together differentiable stacks
I am trying to figure out the conditions under which you can glue together a collection of (differentiable) stacks by equivalences, and get a differentiable stack. … coequalizer of the appropriate groupoid (which is now a groupoid internal to the category of stacks). I'm not sure if this is right, and even if it is I don't really know how to show it. …