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.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Marden conjecture
- Nontaming knot