?? ... "torpos" ... = topos st among the "flat" (???or something???) objects there's one special "torus" one... with the others having it as "localizations" ... ???or something?? ... and so forth ... ??consider affine case here, for example ??? ...

??something about... lots of symmetric monoidal (??and/or pro-monoidal ... ??) structures on a topos, in general ... ??but maybe torposness really is just a property of a topos ...

??so what about something about ... ??"intrinsic concept of flat" here?? ... and so forth ... ??again, some presheaf / co-presheaf confusion here ??? ... ?? formula / model ... ???and so forth ... ???something about ... ??"flatness in which input" ... and so forth ... ??.... diaconescu tricks ... and so forth .... ?????? .....

???what about something about "flatness of localization" (and so forth ...) and
addition / multiplication confusion here (...) ??? ....



??sa "object-pair classifier" over topos ... ??...

??sa object-tuple classifiers as forming ... ???operadal category, os ??? asf os... ??sa... relationship to [relationship between pro-monoidal cat and quadratic operad... asf ...] ... ???....