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

Remark: Why the stronger claim is not inferred

The boundary-sensitive topology › Pointwise multiplication: the exact topological claim · lines 1050–1059

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The theorem is a statement about multiplication by a fixed factor. Its proof does not give uniform control over arbitrary bounded sets of varying factors. Consequently it is not a hypocontinuity theorem.

This distinction is essential: the normal-topology mixed-Wick obstruction uses a stronger multiplication hypothesis. Nothing here asserts that the classical topology already supports such a quantum multiplication.

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