?? "homotopy fiber" .... of dimensional functor from dimensional category associated with "ramification index" to dimensional category of all fractional ideals .... ????....

???algebraic homotopy fiber .... geometric homotopy co-fiber .... ??? "anchored bundle" ... "anchoring" = trivialization (?? connection ... ??? .... macro vs micro ... ??? ...) over (?? generalized ...) basepoint ... ??? "line bundle with connection jet" .... ???? ...... ??? "trivialization jet" ... ???? .....

??? _why_ isomorphism classes of such thing should behave as _galois group_ .... ????? ...... ??? "frobenius" .... ????? ..... ???? ..... jugendtraum ... ??? .....

???duality between "ramification index" and "complement" thereof ??? .... ?? but problematicness of ... "multiplicity" in "negative" picture ???? ....

???dimensional algebra where dimensions are fractional ideals and quantities are ... ?? _some_ of their elements ??? .... ?????with .... perhaps some previously invertible elements no longer invertible because their inverses are now missing ??? ... ??? .... ??or maybe more likely (???) _both_ the element and its inverse are now missing ??? ..... ?????.....

???but ... ???this as suggesting (?? ...) that ... ?? dealing here with ... ??equipping quantities with not merely property, but structure .... ????.... level-bleeding .... ???? .... from object to morphism level ... ????....