Declarations

of the result. This manuscript establishes the IX-A domain and topology module. It does not claim completion of the full Landmark IX coherent-product programme.

on prior manuscripts. The sharp insertion and fixed covariance are restated explicitly. The adjoint, boundary witness, admission maps, and topology statements used in the proof are established here. No finite-part theorem from an unavailable companion manuscript is used as a premise.

status. No successful pdflatex execution, proof-assistant check, or independent review is claimed. The source uses no external figures, bibliography database, or executable code.

release boundary. The classical algebra $({\mathcal{P}}_{\Sigma },\cdot )$ and the formal coefficient module ${{\mathcal{V}}_{\Sigma }}^{[3]}$ are not advertised as a completed quantum field algebra. The notation, abstract, and theorem statements retain that distinction.