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Timeline for 2-sheaf definition in nlab

Current License: CC BY-SA 3.0

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Oct 23, 2013 at 16:53 comment added Urs Schreiber I doubt it, but I haven't thought about this. If you desperately need to know about 2-sites, you should contact Mike Shulman.
Oct 23, 2013 at 7:52 comment added John Salvatierrez @UrsSchreiber: ah, thanks for clearing that up, I had never seen it used before. Out of curiosity, is there some kind of strictification/truncation to take a 2-sheaf on a 2-site to a stack on an ordinary site? (as for categories fibered in groupoids and groupoid-valued functors)
Oct 22, 2013 at 23:23 comment added Urs Schreiber The nLab entry says "2-sheaf" instead of "stack" (for which there is also an entry, of course) because the 2-sheaf-entry considers the full generality of sheaves in bicategory theory, which is rarely ever considered in the literature: category valued higher sheaves on bicategorical sites. The notion of stacks of groupoids on a 1-site which you discuss above is just a special case of this more general concept.
Oct 22, 2013 at 20:48 history answered John Salvatierrez CC BY-SA 3.0