### Abstract

There exists an open 3 -manifold M and a simple closed curve Y M such that π _{1} (M\Y) is infinitely generated, π1(M) is finitely generated and the preimage of Y in the universal covering of M is equivalent to the standard locally finite set of vertical lines in R ^{3}, that is, the trivial link of infinitely many components in R ^{3}.

Original language | English (US) |
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Pages (from-to) | 1561-1578 |

Number of pages | 18 |

Journal | Algebraic and Geometric Topology |

Volume | 7 |

Issue number | 1 |

DOIs | |

State | Published - Dec 1 2007 |

### All Science Journal Classification (ASJC) codes

- Geometry and Topology

### Keywords

- Marden conjecture
- Nontaming knot
- Tameness

## Fingerprint Dive into the research topics of 'Covering a nontaming knot by the unlink'. Together they form a unique fingerprint.

## Cite this

Freedman, M. H., & Gabai, D. (2007). Covering a nontaming knot by the unlink.

*Algebraic and Geometric Topology*,*7*(1), 1561-1578. https://doi.org/10.2140/agt.2007.7.1561