??what about sheaves over site given by ... ??something like category of "spaces" (or something ...) and "local homeomorphisms" (or something ...) and grothendieck topology given by ... ??perhaps obvious ?? ... ???and so forth ...???..

??vs something about ... ??using some concept of "local isomorphism" to specify the grotehndieck topology ... ??in maybe somehwat obvious way .. ??given that category has sums, or something?? ... and so forth ... ??...

??hmmm... ??some funny stuff going on here??? ... ???something about "giraud's theorem" and so forth ??? ... ??but with something about freyd's (?...) stuff about "non-topos which is locally a topos" and so forth ... ???something about only allowing hausdorff spaces here (and so forth ...) ... ???something about lawvere's "big vs small topos" ideas... ???and so forth ??? ....