Embedding infinite cyclic covers of knot spaces into 3-space

Boju Jiang, Yi Ni, Shicheng Wang +1

We say a knot $k$ in the 3-sphere ${\mathbb{S}}^3$ has {\it Property $IE$} if the infinite cyclic cover of the knot exterior embeds into ${\mathbb{S}}^3$. Clearly all fibred knots have P…