Property P conjecture for knots
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:topology
knot theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Property P conjecture for knots
|
| gptkbp:implies |
If a nontrivial knot in S^3 has a nontrivial Dehn surgery yielding a simply connected 3-manifold, then the knot is trivial.
|
| gptkbp:provenBy |
gptkb:Peter_Kronheimer
gptkb:Tomasz_Mrowka |
| gptkbp:relatedTo |
gptkb:Dehn_surgery
gptkb:Poincaré_conjecture 3-manifolds |
| gptkbp:sentence |
Every nontrivial knot in the 3-sphere has Property P.
|
| gptkbp:status |
proven
|
| gptkbp:yearProved |
2004
|
| gptkbp:bfsParent |
gptkb:Kronheimer–Mrowka_theorem
|
| gptkbp:bfsLayer |
6
|