??? universal property of category of filteredly cocontinuous set-valued functors on x ??? ..... ??? where x _has_ filtered colimits ???

?? analogy : discretely cocontinuous set-valued functors on x where x has discrete colimits ??? ....

??? tensor product of toric quasicoherent sheaves in filteredly cocontinuous picture, and geometric morphism involving accidental topos ... "structure constants" ... "generalized day convolution" ....

?? "integeral toric quasicoherent sheaves" .... ???? ?? (Z,*)-spectrum of toric variety ?? .... ??relationship to (R,*)-spectrum ???? ..... ???? .... ???? ... ??? any levle slip ??? .... ???? ...... ????? .... ???? ....