trivial knot

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• Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot …   Wikipedia

• Knot (mathematics) — A table of all prime knots with seven crossings or fewer (not including mirror images). In mathematics, a knot is an embedding of a circle in 3 dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial… …   Wikipedia

• Satellite knot — In the mathematical theory of knots, a satellite knot is a knot which contains an incompressible, non boundary parallel torus in its complement [Colin Adams, The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots , (2001),… …   Wikipedia

• Prime knot — In knot theory, a prime knot is a knot that is, in a certain sense, indecomposable. Specifically, it is a non trivial knot which cannot be written as the knot sum of two non trivial knots. Knots that are not prime are said to be composite. It can …   Wikipedia

• Nœud trivial — Le nœud trivial Deux diagrammes simples du nœud trivial …   Wikipédia en Français

• Link (knot theory) — In mathematics, 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 …   Wikipedia

• Torus knot — In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of… …   Wikipedia

• Unknot — The unknot arises in the mathematical theory of knots. Intuitively, the unknot is a closed loop of rope without a knot in it. A knot theorist would describe the unknot as an image of any embedding that can be deformed, i.e. ambient isotoped, to… …   Wikipedia

• Highwayman's hitch — Knot details name= Highwayman s hitch names= Fireman s hitch, Mooring Hitch type= hitch strength= origin= related= releasing= Non jamming uses= Quick release, draw loop hitch caveat= abok number= The highwayman s hitch also known at the fireman s …   Wikipedia

• Polynôme d'Alexander — En mathématiques, et plus précisément en théorie des nœuds, le polynôme d Alexander est un invariant de nœuds qui associe un polynôme à coefficients entiers à chaque type de nœud. C est le premier polynôme de nœud (en) découvert ; il l… …   Wikipédia en Français

• Jones polynomial — In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1983. Specifically, it is an invariant of an oriented knot or link which assigns to each oriented knot or link a Laurent polynomial …   Wikipedia