?? "toric localness" (?? vs mere localness ?? .... ?? toric localness as stronger ?? ....) .... ?? cockett ??? .... accidental geometric morphism ... ??

??? toric localness _of_ toric convolution, vs _as defined in terms of_ it ... ??? ...

?? various apparent near-paradoxes / confusions here ...

??? ordinary tensor product vs toric convolution ... ?? as associated to geometric morphisms in different ways, so seems problematic for both to acquire their toric localness that way ... ???

?? if toric localness is to do with some sort of compatibility with tortic convolution, then why ordinary tensor product has only lax exchange property with it ?? ... ... ??? more mayhem ... ??? ....

?? way existence of toric convolution is seeming to me now (in terms of toric lcoalness ...) vs ... ?? way it seemed to me originally ?? ... i mean without relying on topos trick ... ?? seemed weird because of partialness of toric multiplication ... ?? but having trouble at the moment seeing how that owuld entenr into any really rigorous (?? ...) treatment .... ??? ....