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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 wikiPageLength "2033".
- Property_P_conjecture wikiPageOutDegree "16".
- Property_P_conjecture wikiPageRevisionID "626477990".
- Property_P_conjecture wikiPageWikiLink 3-manifold.
- Property_P_conjecture wikiPageWikiLink 3-sphere.
- Property_P_conjecture wikiPageWikiLink Algebraic_&_Geometric_Topology.
- Property_P_conjecture wikiPageWikiLink Category:3-manifolds.
- Property_P_conjecture wikiPageWikiLink Category:Conjectures.
- Property_P_conjecture wikiPageWikiLink Dehn_surgery.
- Property_P_conjecture wikiPageWikiLink Geometry_&_Topology.
- Property_P_conjecture wikiPageWikiLink Knot_(mathematics).
- Property_P_conjecture wikiPageWikiLink Lickorish–Wallace_theorem.
- Property_P_conjecture wikiPageWikiLink Mathematics.
- Property_P_conjecture wikiPageWikiLink Poincaré_conjecture.
- Property_P_conjecture wikiPageWikiLink Property_R_conjecture.
- Property_P_conjecture wikiPageWikiLink R._H._Bing.
- Property_P_conjecture wikiPageWikiLink Simply-connected.
- Property_P_conjecture wikiPageWikiLink Simply_connected_space.
- Property_P_conjecture wikiPageWikiLinkText "Property P conjecture".
- Property_P_conjecture wikiPageWikiLinkText "property P conjecture".
- Property_P_conjecture hasPhotoCollection Property_P_conjecture.
- Property_P_conjecture wikiPageUsesTemplate Template:Cite_journal.
- Property_P_conjecture wikiPageUsesTemplate Template:Topology-stub.
- Property_P_conjecture subject Category:3-manifolds.
- Property_P_conjecture subject Category:Conjectures.
- Property_P_conjecture hypernym Statement.
- Property_P_conjecture type Conjecture.
- Property_P_conjecture type Statement.
- Property_P_conjecture type Statement.
- 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 wasDerivedFrom Property_P_conjecture?oldid=626477990.
- Property_P_conjecture isPrimaryTopicOf Property_P_conjecture.