Manuscript IX-A@1 · IX-A.tex · section · 55aa6f6d

What remains fixed

The question and the exact change of admission › What remains fixed · lines 299–324

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The following data are retained:

  1. the off-shell functional (eq:B);

  2. the zero-Cauchy prescription defining ;

  3. the ordinary bulk polynomial kernels;

  4. the fixed bulk Wick product wherever it is already defined;

  5. exact equality of classical functionals, including boundary terms arising from integration by parts.

The following assertions are not retained or assumed:

  1. normal-topology continuity of sharp admission;

  2. convergence of unchanged regular approximants in the new admission topology;

  3. a quantum multiplication on the enlarged domain;

  4. quantum closure under contractions or retarded products.

The fundamental operations on prescribed-wavefront spaces require their own topological theorems. In particular, continuity and hypocontinuity are distinct claims BDH. We do not replace such a theorem by a choice of notation.