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- Property_P_conjecture abstract "In mathematics, the Property P conjecture is a statement about 3-manifolds obtained by Dehn surgery on a knot in the 3-sphere. A knot in the 3-sphere is said to have Property P if every 3-manifold obtained by performing (non-trivial) Dehn surgery on the knot is non-simply-connected. The conjecture states that all knots, except the unknot, have Property P.Research on Property P was jump-started by R. H. Bing, who popularized the name and conjecture.This conjecture can be thought of as a first step to resolving the Poincaré conjecture, since the Lickorish–Wallace theorem says any closed, orientable 3-manifold results from Dehn surgery on a link.A proof was announced in 2004, as the combined result of efforts of mathematicians working in several different fields.".
- Property_P_conjecture wikiPageID "1294354".
- Property_P_conjecture wikiPageRevisionID "476249016".
- Property_P_conjecture hasPhotoCollection Property_P_conjecture.
- Property_P_conjecture subject Category:3-manifolds.
- Property_P_conjecture subject Category:Conjectures.
- Property_P_conjecture type Abstraction100002137.
- Property_P_conjecture type Cognition100023271.
- Property_P_conjecture type Concept105835747.
- Property_P_conjecture type Conjectures.
- Property_P_conjecture type Content105809192.
- Property_P_conjecture type Hypothesis105888929.
- Property_P_conjecture type Idea105833840.
- Property_P_conjecture type PsychologicalFeature100023100.
- Property_P_conjecture type Speculation105891783.
- Property_P_conjecture comment "In mathematics, the Property P conjecture is a statement about 3-manifolds obtained by Dehn surgery on a knot in the 3-sphere. A knot in the 3-sphere is said to have Property P if every 3-manifold obtained by performing (non-trivial) Dehn surgery on the knot is non-simply-connected. The conjecture states that all knots, except the unknot, have Property P.Research on Property P was jump-started by R. H.".
- Property_P_conjecture label "Property P conjecture".
- Property_P_conjecture sameAs m.04qpd8.
- Property_P_conjecture sameAs Q7250222.
- Property_P_conjecture sameAs Q7250222.
- Property_P_conjecture sameAs Property_P_conjecture.
- Property_P_conjecture wasDerivedFrom Property_P_conjecture?oldid=476249016.
- Property_P_conjecture isPrimaryTopicOf Property_P_conjecture.