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- Regular_isotopy abstract "In the mathematical subject of knot theory, regular isotopy is the equivalence relation of link diagrams that is generated by using the 2nd and 3rd Reidemeister moves only. The notion of regular isotopy was introduced by Louis Kauffman (Kauffman 1990). It can be thought of as an isotopy of a ribbon pressed flat against the plane which keeps the ribbon flat. For diagrams in the plane this is a finer equivalence relation than ambient isotopy of framed links, since the 2nd and 3rd Reidemeister moves preserve the winding number of the diagram (Kauffman 1990, pp. 450ff.). However, for diagrams in the sphere (considered as the plane plus infinity), the two notions are equivalent, due to the extra freedom of passing a strand through infinity.".
- Regular_isotopy wikiPageID "7404505".
- Regular_isotopy wikiPageLength "1092".
- Regular_isotopy wikiPageOutDegree "12".
- Regular_isotopy wikiPageRevisionID "492769854".
- Regular_isotopy wikiPageWikiLink Ambient_isotopy.
- Regular_isotopy wikiPageWikiLink Category:Knot_theory.
- Regular_isotopy wikiPageWikiLink Equivalence_relation.
- Regular_isotopy wikiPageWikiLink Knot_(mathematics).
- Regular_isotopy wikiPageWikiLink Knot_polynomial.
- Regular_isotopy wikiPageWikiLink Knot_theory.
- Regular_isotopy wikiPageWikiLink Louis_Kauffman.
- Regular_isotopy wikiPageWikiLink Mathematics.
- Regular_isotopy wikiPageWikiLink Reidemeister_move.
- Regular_isotopy wikiPageWikiLink Winding_number.
- Regular_isotopy wikiPageWikiLinkText "Isotopy".
- Regular_isotopy wikiPageWikiLinkText "Regular isotopy".
- Regular_isotopy wikiPageWikiLinkText "isotoped".
- Regular_isotopy wikiPageWikiLinkText "isotopic".
- Regular_isotopy wikiPageWikiLinkText "isotopy".
- Regular_isotopy wikiPageWikiLinkText "regular isotopy".
- Regular_isotopy wikiPageUsesTemplate Template:Knottheory-stub.
- Regular_isotopy subject Category:Knot_theory.
- Regular_isotopy hypernym Relation.
- Regular_isotopy type Agent.
- Regular_isotopy comment "In the mathematical subject of knot theory, regular isotopy is the equivalence relation of link diagrams that is generated by using the 2nd and 3rd Reidemeister moves only. The notion of regular isotopy was introduced by Louis Kauffman (Kauffman 1990). It can be thought of as an isotopy of a ribbon pressed flat against the plane which keeps the ribbon flat.".
- Regular_isotopy label "Regular isotopy".
- Regular_isotopy sameAs Q7309602.
- Regular_isotopy sameAs m.0260nql.
- Regular_isotopy sameAs Q7309602.
- Regular_isotopy wasDerivedFrom Regular_isotopy?oldid=492769854.
- Regular_isotopy isPrimaryTopicOf Regular_isotopy.