Freely topologically slice conjecture for the untwisted Whitehead double of the Borromean Rings

Let ${\rm Wh}({\rm Bor})$ denote the untwisted Whitehead double of the Borromean Rings. A link is freely topologically slice if its components bound disjoint locally flat disks in the $4$-ball whose complement has free fundamental group generated by the meridians to the link components. Freely topologically slice conjecture. The untwisted Whitehead double ${\rm Wh}({\rm Bor})$ of the Borromean Rings is not freely topologically slice. The statement is one of the canonical four-dimensional surgery problems and is related to the long-standing conjecture that the topological surgery theorem holds for arbitrary fundamental groups. The source states that the slicing problem remains open even without the additional free-complement requirement.