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Apr 16, 2010 at 15:37 comment added Harry Gindi I was able to find her thesis in one of the usual places =).
Apr 16, 2010 at 15:24 comment added Marc Nieper-Wißkirchen See for example in section IV.5 of her thesis. A good account on what it says about the étale spectrum can be found here: springerlink.com/content/10x9002103602132/fulltext.pdf
Apr 13, 2010 at 10:13 comment added Harry Gindi Where in M. Hakim's thesis?
Apr 13, 2010 at 10:12 history undeleted Harry Gindi
Apr 13, 2010 at 10:11 history deleted Harry Gindi
Apr 13, 2010 at 9:11 comment added Marc Nieper-Wißkirchen Harry, thanks for your answer. However, it is not the answer I was looking for. It is clear that one can construct the petit (étale) topos out of the gros (étale) topos and that the ring object can be constructed the way you described it. But the question was whether this construction can be viewed as a natural one or whether the geometric morphisms between the gros and the petit toposes fulfill some universal properties. (For example, if I am not mistaken, constructing the petit étale topos out of the petit Zariski topos has a nice description; see M. Hakim's thesis.) Marc
Apr 12, 2010 at 20:49 history edited Harry Gindi CC BY-SA 2.5
deleted 7 characters in body; edited body
Apr 12, 2010 at 20:30 history answered Harry Gindi CC BY-SA 2.5