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- Virtually_Haken_conjecture abstract "In topology, an area of mathematics, the virtually Haken conjecture states that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group is virtually Haken. That is, it has a finite cover (a covering space with a finite-to-one covering map) that is a Haken manifold. After the proof of the geometrization conjecture by Perelman, the conjecture was only open for hyperbolic 3-manifolds. The conjecture is usually attributed to Friedhelm Waldhausen in a paper from 1968, although he did not formally state it. This problem is formally stated as Problem 3.2 in Kirby's problem list. A proof of the conjecture was announced on March 12, 2012 by Ian Agol in a seminar lecture he gave at the Institut Henri Poincaré. The proof has now been written up, and is published in the journal Documenta Mathematica. The proof built on results of Kahn and Markovic in their proof of the surface subgroup conjecture and results of Daniel Wise in proving the Malnormal Special Quotient Theorem and results of Bergeron and Wise for the cubulation of groups.".
- Virtually_Haken_conjecture wikiPageID "4692183".
- Virtually_Haken_conjecture wikiPageLength "3551".
- Virtually_Haken_conjecture wikiPageOutDegree "23".
- Virtually_Haken_conjecture wikiPageRevisionID "674579372".
- Virtually_Haken_conjecture wikiPageWikiLink 3-manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Category:3-manifolds.
- Virtually_Haken_conjecture wikiPageWikiLink Category:Theorems.
- Virtually_Haken_conjecture wikiPageWikiLink Closed_manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Compact_manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Covering_space.
- Virtually_Haken_conjecture wikiPageWikiLink Daniel_Wise_(mathematician).
- Virtually_Haken_conjecture wikiPageWikiLink Friedhelm_Waldhausen.
- Virtually_Haken_conjecture wikiPageWikiLink Fundamental_group.
- Virtually_Haken_conjecture wikiPageWikiLink Geometrization_conjecture.
- Virtually_Haken_conjecture wikiPageWikiLink Geometry_&_Topology.
- Virtually_Haken_conjecture wikiPageWikiLink Geometry_and_Topology.
- Virtually_Haken_conjecture wikiPageWikiLink Haken_manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Hyperbolic_3-manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Ian_Agol.
- Virtually_Haken_conjecture wikiPageWikiLink Institut_Henri_Poincaré.
- Virtually_Haken_conjecture wikiPageWikiLink Irreducible_manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Mathematics.
- Virtually_Haken_conjecture wikiPageWikiLink Orientability.
- Virtually_Haken_conjecture wikiPageWikiLink Orientable_manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Perelman.
- Virtually_Haken_conjecture wikiPageWikiLink Prime_manifold.
- Virtually_Haken_conjecture wikiPageWikiLink Robion_Kirby.
- Virtually_Haken_conjecture wikiPageWikiLink Surface_subgroup_conjecture.
- Virtually_Haken_conjecture wikiPageWikiLink Topology.
- Virtually_Haken_conjecture wikiPageWikiLink Virtually_fibered_conjecture.
- Virtually_Haken_conjecture wikiPageWikiLink Virtually_positive_Betti_number_conjecture.
- Virtually_Haken_conjecture wikiPageWikiLinkText "Virtually Haken conjecture".
- Virtually_Haken_conjecture wikiPageWikiLinkText "virtual Haken conjecture".
- Virtually_Haken_conjecture wikiPageWikiLinkText "virtually Haken conjecture".
- Virtually_Haken_conjecture hasPhotoCollection Virtually_Haken_conjecture.
- Virtually_Haken_conjecture wikiPageUsesTemplate Template:Citation.
- Virtually_Haken_conjecture wikiPageUsesTemplate Template:Reflist.
- Virtually_Haken_conjecture wikiPageUsesTemplate Template:Topology-stub.
- Virtually_Haken_conjecture subject Category:3-manifolds.
- Virtually_Haken_conjecture subject Category:Theorems.
- Virtually_Haken_conjecture type Article.
- Virtually_Haken_conjecture type Article.
- Virtually_Haken_conjecture type Conjecture.
- Virtually_Haken_conjecture type Statement.
- Virtually_Haken_conjecture type Statement.
- Virtually_Haken_conjecture comment "In topology, an area of mathematics, the virtually Haken conjecture states that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group is virtually Haken. That is, it has a finite cover (a covering space with a finite-to-one covering map) that is a Haken manifold. After the proof of the geometrization conjecture by Perelman, the conjecture was only open for hyperbolic 3-manifolds.".
- Virtually_Haken_conjecture label "Virtually Haken conjecture".
- Virtually_Haken_conjecture sameAs m.0chlqw.
- Virtually_Haken_conjecture sameAs Q7935203.
- Virtually_Haken_conjecture sameAs Q7935203.
- Virtually_Haken_conjecture sameAs Virtual哈肯猜想.
- Virtually_Haken_conjecture wasDerivedFrom Virtually_Haken_conjecture?oldid=674579372.
- Virtually_Haken_conjecture isPrimaryTopicOf Virtually_Haken_conjecture.