Jsj Decomposition

Irreducible orientable compact and closed (i.e., without boundary) 3-manifolds have a canonical (up to isotopy) minimal collection of disjointly embedded incompressible torii such that each component of the 3-manifold obtained by cutting along the tori is either atoroidal or Seifert-fibered.

See also

• Manifold decomposition

External link

• Allen Hatcher, Notes on Basic 3-Manifold Topology.

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