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- Braid_theory abstract "In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations. The idea is that braids can be organized into groups, in which the group operation is 'do the first braid on a set of strings, and then follow it with a second on the twisted strings'. Such groups may be described by explicit presentations, as was shown by Emil Artin (1947). For an elementary treatment along these lines, see the article on braid groups. Braid groups may also be given a deeper mathematical interpretation: as the fundamental group of certain configuration spaces.".
- Braid_theory thumbnail Frise.jpg?width=300.
- Braid_theory wikiPageExternalLink msb5359.
- Braid_theory wikiPageExternalLink stir.pdf.
- Braid_theory wikiPageID "363394".
- Braid_theory wikiPageLength "8332".
- Braid_theory wikiPageOutDegree "35".
- Braid_theory wikiPageRevisionID "659475570".
- Braid_theory wikiPageWikiLink Braid.
- Braid_theory wikiPageWikiLink Braid_group.
- Braid_theory wikiPageWikiLink Braided_monoidal_category.
- Braid_theory wikiPageWikiLink Cartesian_product.
- Braid_theory wikiPageWikiLink Category:Braids.
- Braid_theory wikiPageWikiLink Category:Knot_theory.
- Braid_theory wikiPageWikiLink Change_ringing_software.
- Braid_theory wikiPageWikiLink Chaotic_mixing.
- Braid_theory wikiPageWikiLink Configuration_space.
- Braid_theory wikiPageWikiLink Fluid_mechanics.
- Braid_theory wikiPageWikiLink Fundamental_group.
- Braid_theory wikiPageWikiLink Geometry.
- Braid_theory wikiPageWikiLink Group_(mathematics).
- Braid_theory wikiPageWikiLink Group_action.
- Braid_theory wikiPageWikiLink Homotopy_group.
- Braid_theory wikiPageWikiLink James_Waddell_Alexander_II.
- Braid_theory wikiPageWikiLink Jones_polynomial.
- Braid_theory wikiPageWikiLink Knot_(mathematics).
- Braid_theory wikiPageWikiLink Knot_theory.
- Braid_theory wikiPageWikiLink Link_(knot_theory).
- Braid_theory wikiPageWikiLink Manifold.
- Braid_theory wikiPageWikiLink Nielsen–Thurston_classification.
- Braid_theory wikiPageWikiLink Orbit_(group_theory).
- Braid_theory wikiPageWikiLink Presentation_of_a_group.
- Braid_theory wikiPageWikiLink Seifert_circle.
- Braid_theory wikiPageWikiLink Seifert_fiber_space.
- Braid_theory wikiPageWikiLink String_links.
- Braid_theory wikiPageWikiLink Symmetric_group.
- Braid_theory wikiPageWikiLink Theory.
- Braid_theory wikiPageWikiLink Topological_entropy.
- Braid_theory wikiPageWikiLink Topology.
- Braid_theory wikiPageWikiLink Topology_and_its_Applications.
- Braid_theory wikiPageWikiLink Up_to.
- Braid_theory wikiPageWikiLink Vaughan_Jones.
- Braid_theory wikiPageWikiLink File:Braid_4perm.png.
- Braid_theory wikiPageWikiLink File:Frise.jpg.
- Braid_theory wikiPageWikiLinkText "Braid theory".
- Braid_theory wikiPageWikiLinkText "Braid theory#Braid index".
- Braid_theory wikiPageWikiLinkText "Braid theory#Closed braids".
- Braid_theory wikiPageWikiLinkText "braid theory".
- Braid_theory wikiPageWikiLinkText "braid".
- Braid_theory wikiPageWikiLinkText "braiding".
- Braid_theory wikiPageWikiLinkText "braids".
- Braid_theory wikiPageWikiLinkText "closed braid".
- Braid_theory wikiPageWikiLinkText "theory of braids".
- Braid_theory wikiPageWikiLinkText "topological properties".
- Braid_theory wikiPageWikiLinkText "weaving of braids".
- Braid_theory authorlink "Emil Artin".
- Braid_theory first "Emil".
- Braid_theory hasPhotoCollection Braid_theory.
- Braid_theory last "Artin".
- Braid_theory wikiPageUsesTemplate Template:Citation.
- Braid_theory wikiPageUsesTemplate Template:Harvs.
- Braid_theory wikiPageUsesTemplate Template:Harvtxt.
- Braid_theory wikiPageUsesTemplate Template:Knot_theory.
- Braid_theory wikiPageUsesTemplate Template:Reflist.
- Braid_theory wikiPageUsesTemplate Template:See_also.
- Braid_theory year "1947".
- Braid_theory subject Category:Braids.
- Braid_theory subject Category:Knot_theory.
- Braid_theory hypernym Theory.
- Braid_theory type Book.
- Braid_theory type Thing.
- Braid_theory comment "In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations. The idea is that braids can be organized into groups, in which the group operation is 'do the first braid on a set of strings, and then follow it with a second on the twisted strings'. Such groups may be described by explicit presentations, as was shown by Emil Artin (1947).".
- Braid_theory label "Braid theory".
- Braid_theory seeAlso Brunnian_link.
- Braid_theory sameAs Teoría_de_trenzas.
- Braid_theory sameAs Tresse_(mathématiques).
- Braid_theory sameAs 組み紐_(数学).
- Braid_theory sameAs Vlechttheorie.
- Braid_theory sameAs Teoria_warkoczy.
- Braid_theory sameAs m.01_ptw.
- Braid_theory sameAs Teoria_împletiturilor.
- Braid_theory sameAs Теория_кос.
- Braid_theory sameAs Q2026155.
- Braid_theory sameAs Q2026155.
- Braid_theory wasDerivedFrom Braid_theory?oldid=659475570.
- Braid_theory depiction Frise.jpg.
- Braid_theory isPrimaryTopicOf Braid_theory.