Class-Functional Assignments after Transversality: Split Classes, Even Fibres, and Candidates for Target 9.4

Abstract

Parity excludes the standard genetic code from the class of class-functional assignments and is silent on the vertebrate mitochondrial table, whose fibres are even. Joint measurability excludes both published tables from being at once class-measurable and block-measurable, except two-valued maps; that fact is not Target 9.4.

Both tables split nineteen of twenty frame classes and leave the same unsplit orbit {AGU, UCA}, painted Ser. Six candidates for an obstruction finer than parity are tested. Those that pass the mitochondrial table are parity itself; those that fail it are either joint measurability or the definition of class-functionality under other names.

The formula asked for by Target 9.4 remains open. The shape is stated: any future invariant must see a multi-valued class by a clause that is neither emptiness of the split set nor evenness of fibres. No axiom is added. The mitochondrial table is not called inferior. No two-cut is constructed.