Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 7, Number 3 (2007), 1561-1578.
Covering a nontaming knot by the unlink
There exists an open –manifold and a simple closed curve such that is infinitely generated, is finitely generated and the preimage of in the universal covering of is equivalent to the standard locally finite set of vertical lines in , that is, the trivial link of infinitely many components in .
Algebr. Geom. Topol., Volume 7, Number 3 (2007), 1561-1578.
Received: 28 May 2005
Accepted: 27 December 2005
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57N10: Topology of general 3-manifolds [See also 57Mxx]
Secondary: 57M10: Covering spaces 57N45: Flatness and tameness
Freedman, Michael H; Gabai, David. Covering a nontaming knot by the unlink. Algebr. Geom. Topol. 7 (2007), no. 3, 1561--1578. doi:10.2140/agt.2007.7.1561. https://projecteuclid.org/euclid.agt/1513796754