English

On embedding infinite cyclic covers in compact 3-manifolds

Geometric Topology 2007-05-23 v1

Abstract

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.

Cite

@article{arxiv.math/0608339,
  title  = {On embedding infinite cyclic covers in compact 3-manifolds},
  author = {C. McA. Gordon},
  journal= {arXiv preprint arXiv:math/0608339},
  year   = {2007}
}

Comments

3 pages, 3 figures, amslatex