On embedding the infinite cyclic coverings of knot complements into three sphere

Yang, Zhiqing

doi:10.1090/S0002-9939-09-10137-5

On embedding the infinite cyclic coverings of knot complements into three sphere
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by Zhiqing Yang PDF

Proc. Amer. Math. Soc. 138 (2010), 1153-1157 Request permission

Abstract:

We construct a class of knots with the CI${}^*$ property, that is, $\pi _1(M(n)\mid \partial M(n))\neq \{e\}$ for some $n>0$. It follows that the infinite cyclic covering of such a knot cannot be embedded in any compact 3-manifold.

References

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