??try some example of a nice small site category, the sort where it's easy to survey all the grothendieck topologies (...??...) ... and instead survey all the reflective subcategories ... ??? .....

??how quasitopos / quasitopology fits in here ... ??? maybe hinting how some other stuff fits too ... ???

?? "cocomplete category obtainable by sketch with underlying category c" vs "reflective subcategory of _presheaf(c)_" .... ????....

??so let's consider .... for example, "colimits theory of an object x with endo-morphism f, with axiom saying ..." ????..... ??we can specify a co-yoneda morphism into the representable functor .... ???which indeed seems to amount to a presheaf over the element category of the object ... ??? .... ???and then insist that ... ??the representabilization of that formal colimit be ??????????????....


???how does all this relate to stuff that we think we know about "gabriel-ulmer duality" ?? ... ?? .....