Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Surface_subgroup_conjecture> ?p ?o. }
Showing items 1 to 25 of
25
with 100 items per page.
- Surface_subgroup_conjecture abstract "In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed, irreducible 3-manifold with infinite fundamental group has a surface subgroup. By "surface subgroup" we mean the fundamental group of a closed surface not the 2-sphere. This problem is listed as Problem 3.75 in Robion Kirby's problem list.Assuming the geometrization conjecture, the only open case was that of closed hyperbolic 3-manifolds. A proof of this case was announced in the Summer of 2009 by Jeremy Kahn and Vladimir Markovic and outlined in a talk August 4, 2009 at the FRG (Focused Research Group) Conference hosted by the University of Utah. A preprint appeared in the arxiv.org server in October 2009. Their paper was published in the Annals of Mathematics in 2012. In June 2012, Kahn and Markovic were given the Clay Research Awards by the Clay Mathematics Institute at a ceremony in Oxford.".
- Surface_subgroup_conjecture thumbnail Jeremy_Kahn_and_Vladimir_Markovic.jpg?width=300.
- Surface_subgroup_conjecture wikiPageID "4565128".
- Surface_subgroup_conjecture wikiPageRevisionID "526534206".
- Surface_subgroup_conjecture hasPhotoCollection Surface_subgroup_conjecture.
- Surface_subgroup_conjecture subject Category:3-manifolds.
- Surface_subgroup_conjecture subject Category:Conjectures.
- Surface_subgroup_conjecture type Abstraction100002137.
- Surface_subgroup_conjecture type Cognition100023271.
- Surface_subgroup_conjecture type Concept105835747.
- Surface_subgroup_conjecture type Conjectures.
- Surface_subgroup_conjecture type Content105809192.
- Surface_subgroup_conjecture type Hypothesis105888929.
- Surface_subgroup_conjecture type Idea105833840.
- Surface_subgroup_conjecture type PsychologicalFeature100023100.
- Surface_subgroup_conjecture type Speculation105891783.
- Surface_subgroup_conjecture comment "In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed, irreducible 3-manifold with infinite fundamental group has a surface subgroup. By "surface subgroup" we mean the fundamental group of a closed surface not the 2-sphere. This problem is listed as Problem 3.75 in Robion Kirby's problem list.Assuming the geometrization conjecture, the only open case was that of closed hyperbolic 3-manifolds.".
- Surface_subgroup_conjecture label "Surface subgroup conjecture".
- Surface_subgroup_conjecture sameAs m.0c94d8.
- Surface_subgroup_conjecture sameAs Q7646025.
- Surface_subgroup_conjecture sameAs Q7646025.
- Surface_subgroup_conjecture sameAs Surface_subgroup_conjecture.
- Surface_subgroup_conjecture wasDerivedFrom Surface_subgroup_conjecture?oldid=526534206.
- Surface_subgroup_conjecture depiction Jeremy_Kahn_and_Vladimir_Markovic.jpg.
- Surface_subgroup_conjecture isPrimaryTopicOf Surface_subgroup_conjecture.
