Main Page | See live article | Alphabetical index The Jaco-Shalen-Johannson torus decomposition is a topological construct defined as follows: "Irreducible orientable compact 3-manifolds have a canonical (up to isotopy) minimal collection of disjointly embedded incompressible tori such that each component of the 3-manifold removed by the tori is either atoroidal or Seifert-fibered" See Thurston's conjecture for relevance. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.