??something about kan extension as (left ... or something ...) adjoint to "restricted yoneda embedding" ( = "spectrum" ...) ...

???something about "single object" case, or perhaps something about "monogenic" (??in some sense?? ... and so forth ...) case ... ??... and so forth ...

??something about ... "schizophrenic object" ... "isbell duality" / "isbell conjugation" /"isbell envelope" ... "chu construction" .... and so forth ... ??something about "semantics / structure adjunction" ... ??? ...