Saturday, March 26, 2011

(for todd)

suppose that x is a "filteredly cocomplete" small category, and consider the grothendieck topology on x where for any filtered colimit diagram in x, the filtered colimit is covered by ... ??

??then is there some nice way of recovering x as a nice "intrinsically defined full subcategory of the sheaf topos here?? ...

??idea that... ??this question seems like a special case of a much larger family of questions that i ought to be able to answer but perhaps don't quite know how to ...

??something about where this question is coming form ... "torpos" and so forth ....

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