Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
JSJ decomposition
|
| gptkbp:appliesTo |
irreducible, orientable, compact 3-manifolds
|
| gptkbp:describes |
decomposition of 3-manifolds along tori
|
| gptkbp:field |
gptkb:topology
3-manifold theory |
| gptkbp:generalizes |
Kneser–Milnor decomposition
|
| https://www.w3.org/2000/01/rdf-schema#label |
Torus decomposition
|
| gptkbp:introduced |
1979
|
| gptkbp:namedAfter |
gptkb:William_Jaco
gptkb:Peter_Shalen Klaus Johannson |
| gptkbp:relatedTo |
gptkb:geometrization_conjecture
prime decomposition of 3-manifolds |
| gptkbp:result |
pieces that are atoroidal or Seifert-fibered
|
| gptkbp:usedFor |
classifying 3-manifolds
|
| gptkbp:bfsParent |
gptkb:Torus
|
| gptkbp:bfsLayer |
6
|