Manuscript XV-C@1 · XV-C.tex · section · 5afd124d

What has not been proved about the full kernel

Complete null tests in a finite normal-jet module › What has not been proved about the full kernel · lines 694–713

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Theorem thm:jetnull does not prove that:

  1. the full inherited presentation space is a finite normal-jet module;

  2. all its null relations are generated by (eq:inheritednull) or by (eq:qidentity);

  3. both complete placements, , and every residual term are covered by this local module;

  4. the actual joint operation acts continuously on this module.

The full descent test remains

A verified local null test cannot replace a complete description or other complete treatment of the actual reconstruction kernel.

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