The current source review separates that necessary local condition from a global conclusion. Noncontractible loops can retain a global transport difference. A restriction checked only on shrinkable loops therefore does not establish every topological condition required by the entire domain.

The source also requires the algebraically independent closure conditions to hold together. Verifying one dependent cycle cannot establish the remaining independent constraints. The distinction prevents a single illustrative loop from being presented as a complete proof of global referenceability.

This is a mathematical clarification of the realization requirements used in the universe-origin account. It supplies no direct observation of global cosmic topology and does not prove full spacetime regularity. The October source qualification identifies which inference is supported and where additional assumptions must enter before a local closure argument can be extended globally.