Covering a nontaming knot by the unlink (Q2464923)

A 3-manifold is non-tame if it is not homeomorphic to the interior of a compact manifold. A non-taming knot is a smooth simple closed curve \(\gamma\) in a 3-manifold \(M\) such that \(\pi_1(M)\) is finitely generated and \(\pi_1(M-\gamma)\) is infinitely generated. This paper provides an example of a knot in a non-tame manifold \(M\), which is non-taming although it lifts to the unlink in the universal covering \(\mathbb{R}^3\).