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added an Idea-section and a further reference to geometric stack.
I hope we can eventually fully harmonize the definitions. It seems to me that the definitions in the literature vary slightly on the strength of their conditions.
more details at geometric stack (finally mentioned groupoid objects) and more references.
Still a stubby entry, though!
There was a grey link here to Cech groupoid. The source showed it said ‘Cech groupoid of a functor|Cech groupoid’, so I deleted the first part of the link leaving just Cech groupoid. This may not be the best possible solution but gets rid of the grey link.
Thanks Tim! Looks like the best solution for the moment to me.
[Edited to remove initial irrelevant comment.]
In definition section, it says that
“ There are slight variations in the literature on what precisely is required of a stack X on a site C with subcanonical topology in order that it qualifies as geometric.”
Though it has already been mentioned in introduction, I was thinking, can adding “choice of p that gives an appropriate groupoid object” make it any clearer?
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