On embedding infinite cyclic covers in compact 3-manifolds

Details On embedding infinite cyclic covers in compact 3-manifolds On embedding infinite cyclic covers in compact 3-manifolds

2006-08-14

arxiv.org/abs/math/0608339v1

Mathematics

Geometric Topology

3 pages, 3 figures, amslatex

Scientific paper

We show that the infinite cyclic cover of the exterior of the untwisted
Whitehead double of a non-trivial knot does not embed in any compact
3-manifold, answering a question of Jiang, Ni, Wang and Zhou.

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