Persistence of infinite multiplicity after quotienting by constructed equivalences

Determine whether every link in the 3-sphere admits infinitely many distinct generalised T-link presentations after identifying presentations related by the parameter transformations constructed in the paper.

Background

The paper proves that every link in the 3-sphere has infinitely many pairwise distinct generalised T-link presentations. These presentations are generated from any initial presentation by explicit transformations that introduce additional twisting pairs and arbitrarily many independent integer parameters while preserving the represented link.

The stated question asks whether this non-uniqueness persists after the repetitions produced by those specific transformations are disregarded. It therefore concerns the residual classification problem for generalised T-link parameter strings, beyond the explicit equivalences established in the paper.