Manuscript Oai282-B@1 · Oai282-B.tex · section · f2956de5
The unchanged six-step chain
Descent and the separate characteristic-product programme › The unchanged six-step chain · lines 2196–2234
The separate programme still requires, for the same complete coefficient:
a full joint characteristic map on tests meeting the locus;
a joint section and controlled complete remainder;
uniform transverse estimates;
compatibility with the permitted contacts and singular spectators;
a complete output wavefront theorem after the actual pushforward;
identification and admission of the normalized quantum coefficient in the stated output space.
In its supplied notation, the last step would include the unasserted line
No such line is proved here.
The technical XV-B version 2 proves useful relative-lifting, normal-jet, and extension interfaces. It records the full graph as unconstructed at its inherited B1 boundary CheungXVB. This must be distinguished from the downstream admission exit also referred to as XV-B in earlier source contracts. Technical interface results do not open that exit.
A normal-order bound alone is not a finite-dimensional numerical ambiguity space: tangential coefficient distributions can vary in infinitely many directions. A conditional extension equivalence is not a selected extension. A point-puncture annihilator correction is not, without additional argument, an extension theorem for a positive-dimensional characteristic locus. None of these interfaces is supplied by the two-probe Ward matrix of Theorem thm:coverage.
Displayed formulas in this passage
unlabeled · line 2214