Articles liés à Regular Isotopy: Mathematics, Knot Theory, Reidemeister...

Regular Isotopy: Mathematics, Knot Theory, Reidemeister Move, Louis Kauffman, Framed Knot, Wild Knot, Solid Torus, Winding Number - Couverture souple

 
9786130332167: Regular Isotopy: Mathematics, Knot Theory, Reidemeister Move, Louis Kauffman, Framed Knot, Wild Knot, Solid Torus, Winding Number

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical subject of knot theory, a regular isotopy of a link diagram is the equivalence relation generated by using the 2nd and 3rd Reidemeister moves only. The notion of regular isotopy was introduced by Louis Kauffman. 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 a framed link, since the 2nd and 3rd Reidemeister moves preserve the winding number of the diagram. 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical subject of knot theory, a regular isotopy of a link diagram is the equivalence relation generated by using the 2nd and 3rd Reidemeister moves only. The notion of regular isotopy was introduced by Louis Kauffman. 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 a framed link, since the 2nd and 3rd Reidemeister moves preserve the winding number of the diagram. 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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.