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- Link_(knot_theory) abstract "In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together. A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory. Implicit in this definition is that there is a trivial reference link, usually called the unlink, but the word is also sometimes used in context where there is no notion of a trivial link. For example, a co-dimension two link in 3-dimensional space is a subspace of 3-dimensional Euclidean space (or often the 3-sphere) whose connected components are homeomorphic to circles. The simplest nontrivial example of a link with more than one component is called the Hopf link, which consists of two circles (or unknots) linked together once. The circles inthe Borromean rings are collectively linked despite the fact that no two of them are directly linked. The Borromean rings thus form a Brunnian link and in fact constitute the simplest such link.".
- Link_(knot_theory) thumbnail BorromeanRings.svg?width=300.
- Link_(knot_theory) wikiPageID "1161784".
- Link_(knot_theory) wikiPageLength "7554".
- Link_(knot_theory) wikiPageOutDegree "35".
- Link_(knot_theory) wikiPageRevisionID "611977932".
- Link_(knot_theory) wikiPageWikiLink 3-sphere.
- Link_(knot_theory) wikiPageWikiLink Ambient_isotopy.
- Link_(knot_theory) wikiPageWikiLink Borromean_rings.
- Link_(knot_theory) wikiPageWikiLink Braid_group.
- Link_(knot_theory) wikiPageWikiLink Braid_theory.
- Link_(knot_theory) wikiPageWikiLink Brunnian_link.
- Link_(knot_theory) wikiPageWikiLink Category:Links_(knot_theory).
- Link_(knot_theory) wikiPageWikiLink Category:Manifolds.
- Link_(knot_theory) wikiPageWikiLink Circle.
- Link_(knot_theory) wikiPageWikiLink Closed_braids.
- Link_(knot_theory) wikiPageWikiLink Connected_space.
- Link_(knot_theory) wikiPageWikiLink Euclidean_space.
- Link_(knot_theory) wikiPageWikiLink Homeomorphic.
- Link_(knot_theory) wikiPageWikiLink Homeomorphism.
- Link_(knot_theory) wikiPageWikiLink Hopf_link.
- Link_(knot_theory) wikiPageWikiLink Hyperbolic_link.
- Link_(knot_theory) wikiPageWikiLink Knot_(mathematics).
- Link_(knot_theory) wikiPageWikiLink Knot_diagram.
- Link_(knot_theory) wikiPageWikiLink Knot_theory.
- Link_(knot_theory) wikiPageWikiLink Link_group.
- Link_(knot_theory) wikiPageWikiLink Linking_number.
- Link_(knot_theory) wikiPageWikiLink Mathematics.
- Link_(knot_theory) wikiPageWikiLink Milnors_invariants.
- Link_(knot_theory) wikiPageWikiLink Monoidal_category.
- Link_(knot_theory) wikiPageWikiLink Overhand_knot.
- Link_(knot_theory) wikiPageWikiLink Pure_braid.
- Link_(knot_theory) wikiPageWikiLink Sphere.
- Link_(knot_theory) wikiPageWikiLink Subspace_(topology).
- Link_(knot_theory) wikiPageWikiLink Subspace_topology.
- Link_(knot_theory) wikiPageWikiLink Tensor_category.
- Link_(knot_theory) wikiPageWikiLink Unknot.
- Link_(knot_theory) wikiPageWikiLink Unlink.
- Link_(knot_theory) wikiPageWikiLink File:BorromeanRings.svg.
- Link_(knot_theory) wikiPageWikiLink File:Hopf_band_wikipedia.png.
- Link_(knot_theory) wikiPageWikiLink File:Stef57_Cobordisme_en_dim_1.jpg.
- Link_(knot_theory) wikiPageWikiLink File:Triquetra-circle-interlaced.svg.
- Link_(knot_theory) wikiPageWikiLinkText "Link (knot theory)".
- Link_(knot_theory) wikiPageWikiLinkText "Link (knot theory)#string link".
- Link_(knot_theory) wikiPageWikiLinkText "Link".
- Link_(knot_theory) wikiPageWikiLinkText "link theory".
- Link_(knot_theory) wikiPageWikiLinkText "link".
- Link_(knot_theory) wikiPageWikiLinkText "linkage".
- Link_(knot_theory) wikiPageWikiLinkText "linked".
- Link_(knot_theory) wikiPageWikiLinkText "linking".
- Link_(knot_theory) wikiPageWikiLinkText "links".
- Link_(knot_theory) wikiPageWikiLinkText "nontrivial links".
- Link_(knot_theory) wikiPageWikiLinkText "oriented link".
- Link_(knot_theory) hasPhotoCollection Link_(knot_theory).
- Link_(knot_theory) wikiPageUsesTemplate Template:Anchor.
- Link_(knot_theory) wikiPageUsesTemplate Template:Knot_theory.
- Link_(knot_theory) wikiPageUsesTemplate Template:See_also.
- Link_(knot_theory) subject Category:Links_(knot_theory).
- Link_(knot_theory) subject Category:Manifolds.
- Link_(knot_theory) hypernym Collection.
- Link_(knot_theory) type Book.
- Link_(knot_theory) type Thing.
- Link_(knot_theory) type Concept.
- Link_(knot_theory) comment "In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together. A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory. Implicit in this definition is that there is a trivial reference link, usually called the unlink, but the word is also sometimes used in context where there is no notion of a trivial link.".
- Link_(knot_theory) label "Link (knot theory)".
- Link_(knot_theory) seeAlso Tangle_(mathematics).
- Link_(knot_theory) sameAs Verschlingung.
- Link_(knot_theory) sameAs Entrelacs_(théorie_des_nœuds).
- Link_(knot_theory) sameAs שזר_(תורת_הקשרים).
- Link_(knot_theory) sameAs Link_(teoria_dei_nodi).
- Link_(knot_theory) sameAs 연환.
- Link_(knot_theory) sameAs Schakel_(knopentheorie).
- Link_(knot_theory) sameAs Enlace.
- Link_(knot_theory) sameAs m.04cg54.
- Link_(knot_theory) sameAs Зацепление_(теория_узлов).
- Link_(knot_theory) sameAs Q1760728.
- Link_(knot_theory) sameAs Q1760728.
- Link_(knot_theory) wasDerivedFrom Link_(knot_theory)?oldid=611977932.
- Link_(knot_theory) depiction BorromeanRings.svg.
- Link_(knot_theory) isPrimaryTopicOf Link_(knot_theory).