Finite-dimensional entropy continuity

The dimensions $L,K$ are those of the actual common comparison spaces. If errors populate additional sectors, their dimensions cannot be deleted from the continuity modulus without a support estimate.

Compatible preparation, evolution, collection, and implementation channel errors telescope by replacing one factor at a time. This yields a sum of channel allowances, capped at one. A metric discrepancy, power error, or selected occupation error cannot be inserted into that sum without a conversion theorem CheungHawk04D,CheungEn02C.