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Mar 24, 2010 at 1:23 comment added Andrea Ferretti Yes, I know, I was just trying to point out what the original problem was. I guess roger was aware of examples of quotient presheaves which are not sheaves.
Mar 23, 2010 at 19:30 history edited Georges Elencwajg CC BY-SA 2.5
Corrected letter "P" to letter "O"at several places
Mar 23, 2010 at 18:20 comment added Zoran Skoda Commutes means that sheafification of a (colimit in PShv) is (colimit in Shv) of a sheafification (the latter step is empty operation on sheaves of course) and NOT that sheafification of a colimit in PShv is just a colimit in PShv.
Mar 23, 2010 at 18:13 comment added Andrea Ferretti I think the question really is: Why is it not a sheaf if sheafification commutes with colimits?
Mar 23, 2010 at 17:50 history answered Georges Elencwajg CC BY-SA 2.5