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- Double_torus_knot abstract "In knot theory, a double torus knot is a closed curve drawn on the surface called a double torus (think of the surface of two doughnuts stuck together). More technically, a double torus knot is the homeomorphic image of a circle in S³ which can be realized as a subset of a genus two handlebody in S³. If a link is a subset of a genus two handlebody, it is a double torus link.The simplest example of a double torus knot that is not a torus knot is the figure-eight knot.While torus knots and links are well understood and completely classified, there are many open questions about double torus knots.Two different notations exist for describing double torus knots. The T/I notation is given in F. Norwood, Curves on Surfaces and a different notation is given in P. Hill, On double-torus knots (I). The big problem, solved in the case of the torus, still open in the case of the double torus, is: when do two different notations describe the same knot?".
- Double_torus_knot wikiPageID "6055359".
- Double_torus_knot wikiPageLength "1488".
- Double_torus_knot wikiPageOutDegree "11".
- Double_torus_knot wikiPageRevisionID "640296823".
- Double_torus_knot wikiPageWikiLink Category:Algebraic_topology.
- Double_torus_knot wikiPageWikiLink Category:Knots_and_links.
- Double_torus_knot wikiPageWikiLink Double_torus.
- Double_torus_knot wikiPageWikiLink Doughnut.
- Double_torus_knot wikiPageWikiLink Figure-eight_knot_(mathematics).
- Double_torus_knot wikiPageWikiLink Genus-2_surface.
- Double_torus_knot wikiPageWikiLink Genus_(mathematics).
- Double_torus_knot wikiPageWikiLink Handlebody.
- Double_torus_knot wikiPageWikiLink Knot_theory.
- Double_torus_knot wikiPageWikiLink Link_(knot_theory).
- Double_torus_knot wikiPageWikiLink Rick_Norwood.
- Double_torus_knot wikiPageWikiLink Torus_knot.
- Double_torus_knot wikiPageWikiLinkText "Double torus knot".
- Double_torus_knot hasPhotoCollection Double_torus_knot.
- Double_torus_knot wikiPageUsesTemplate Template:Knot_theory.
- Double_torus_knot wikiPageUsesTemplate Template:Knottheory-stub.
- Double_torus_knot wikiPageUsesTemplate Template:Reflist.
- Double_torus_knot subject Category:Algebraic_topology.
- Double_torus_knot subject Category:Knots_and_links.
- Double_torus_knot hypernym Curve.
- Double_torus_knot type Album.
- Double_torus_knot comment "In knot theory, a double torus knot is a closed curve drawn on the surface called a double torus (think of the surface of two doughnuts stuck together). More technically, a double torus knot is the homeomorphic image of a circle in S³ which can be realized as a subset of a genus two handlebody in S³.".
- Double_torus_knot label "Double torus knot".
- Double_torus_knot sameAs m.0fmtmh.
- Double_torus_knot sameAs Q5300109.
- Double_torus_knot sameAs Q5300109.
- Double_torus_knot wasDerivedFrom Double_torus_knot?oldid=640296823.
- Double_torus_knot isPrimaryTopicOf Double_torus_knot.