??hmm, so what about "quasicoherent sheaf" concept (or something...) from "big topos" vs from "small topos" viewpoint????? .....

??so what about ... ???(2,1)-category (or something...) of all ringed toposes st the global sections of the ring object is a given ring ... or has a homomorphism from the given ring... and so forth... ??something about various sorts of "extremal" objects in such (2,1)-categories ... ???....

??and ... ??relationships among modules objects in these (...) various ringed toposes... ???something about (non-)quasicoherence and so forth here ... ??...

??also "categorified" version ... ringed topos st the global sections of the "module category" stack is a given ag theory (or something...)... or has a homomorphism (or something...) from the given ag theory ... and so forth ... ???? .....