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unknotted knot

См. также в других словарях:

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

  • knot theory — ▪ mathematics       in mathematics, the study of closed curves in three dimensions, and their possible deformations without one part cutting through another. Knots may be regarded as formed by interlacing and looping a piece of string in any… …   Universalium

  • unknotted — v. untie a knot, loosen a knot, unfasten a string or rope that has been tied …   English contemporary dictionary

  • 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

  • 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

  • Alexander polynomial — In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II discovered this, the first knot polynomial, in 1923. In 1969, John Conway showed a… …   Wikipedia

  • Knots and graphs — Knots and graph theory are related in some simple ways. The triangle is associated with the trefoil knot. Contents 1 Knot diagram …   Wikipedia

  • Gordon–Luecke theorem — In mathematics, the Gordon–Luecke theorem on knot complements states that every homeomorphism between two complements of knots in the 3 sphere extends to give a self homeomorphism of the 3 sphere. In other words, any homeomorphism between knot… …   Wikipedia

  • Gordon-Luecke theorem — In mathematics, the Gordon Luecke theorem on knot complements states that every homeomorphism between two complements of knots in the 3 sphere extends to give a self homeomorphism of the 3 sphere. In other words, any homeomorphism between knot… …   Wikipedia

  • Kirby calculus — In mathematics, the Kirby calculus in geometric topology is a method for modifying framed links in the 3 sphere using a finite set of moves, the Kirby moves. It is named for Robion Kirby. Using four dimensional Cerf theory, he proved that if M… …   Wikipedia

  • Homotopy — This article is about topology. For chemistry, see Homotopic groups. The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one… …   Wikipedia

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