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- Berge_knot abstract "In the mathematical theory of knots, a Berge knot or doubly primitive knot is any member of a particular family of knots in the 3-sphere. A Berge knot K is defined by the conditions: K lies on a genus two Heegaard surface S in each handlebody bound by S, K meets some meridian disc exactly once.John Berge constructed these knots as a way of creating knots with lens space surgeries and classified all the Berge knots. Cameron Gordon conjectured these were the only knots admitting lens space surgeries. This is now known as the #Berge conjecture.".
- Berge_knot wikiPageExternalLink the-berge-conjecture.
- Berge_knot wikiPageExternalLink knot-complements-covering-knot-complements.
- Berge_knot wikiPageID "15422173".
- Berge_knot wikiPageLength "3634".
- Berge_knot wikiPageOutDegree "21".
- Berge_knot wikiPageRevisionID "673582751".
- Berge_knot wikiPageWikiLink 3-sphere.
- Berge_knot wikiPageWikiLink Annals_of_Mathematics.
- Berge_knot wikiPageWikiLink Blog.
- Berge_knot wikiPageWikiLink Cameron_Gordon_(mathematician).
- Berge_knot wikiPageWikiLink Category:3-manifolds.
- Berge_knot wikiPageWikiLink Category:Knots_and_links.
- Berge_knot wikiPageWikiLink Dehn_surgery.
- Berge_knot wikiPageWikiLink Fibered_knot.
- Berge_knot wikiPageWikiLink Handlebody.
- Berge_knot wikiPageWikiLink Inventiones_Mathematicae.
- Berge_knot wikiPageWikiLink John_Berge.
- Berge_knot wikiPageWikiLink Joshua_Greene_(mathematician).
- Berge_knot wikiPageWikiLink Knot_(mathematics).
- Berge_knot wikiPageWikiLink Knot_theory.
- Berge_knot wikiPageWikiLink Lens_space.
- Berge_knot wikiPageWikiLink Yi_Ni.
- Berge_knot wikiPageWikiLinkText "Berge knot".
- Berge_knot wikiPageUsesTemplate Template:Citation.
- Berge_knot wikiPageUsesTemplate Template:Knot_theory.
- Berge_knot wikiPageUsesTemplate Template:Knottheory-stub.
- Berge_knot subject Category:3-manifolds.
- Berge_knot subject Category:Knots_and_links.
- Berge_knot comment "In the mathematical theory of knots, a Berge knot or doubly primitive knot is any member of a particular family of knots in the 3-sphere. A Berge knot K is defined by the conditions: K lies on a genus two Heegaard surface S in each handlebody bound by S, K meets some meridian disc exactly once.John Berge constructed these knots as a way of creating knots with lens space surgeries and classified all the Berge knots.".
- Berge_knot label "Berge knot".
- Berge_knot sameAs Q4891456.
- Berge_knot sameAs m.03m83h1.
- Berge_knot sameAs Q4891456.
- Berge_knot wasDerivedFrom Berge_knot?oldid=673582751.
- Berge_knot isPrimaryTopicOf Berge_knot.