Wednesday, March 9, 2011

??so what about relationship between lawvere's ideas about "topos correposnding to concept of space rather than to particular space" (and so forth) and something about "canonical grothendieck topology" ?? ... and so forth ...

??(2,1)-functor "category of models" from toposes to categories ... ??? no wait, actually i want the "underlying category" (2,1)-functor... ??and then is "canonical sheaves" some sort of adjoint to this?? ....??but then what about also some adjoint to "category of models" ?? ... ???and what about ways in which either and/or both of these (...) might be related to "structure / semantics adjunction" ideas ???.....

??what about something about ... ???relationship of various things here to "interpretation of doctrines" ?? ... and so forth ??

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