We give a short proof and a slight generalization of a theorem of John Luecke, that a compact connected orientable irreducible 3-manifold containing an essential torus is finitely covered by a torus bundle or manifolds with unbounded first Betti numbers.
|Number of pages||5|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1987 Dec|
- Essential surface
- Residual finiteness
ASJC Scopus subject areas
- Applied Mathematics