18 relations: Alexander polynomial, Chiral knot, Crossing number (knot theory), Figure-eight knot (mathematics), Invertible knot, Jones polynomial, Knot theory, Loop (topology), Mathematics, Satellite knot, Slice knot, Stevedore knot (mathematics), Three-twist knot, Torus knot, Trefoil knot, Unknot, Unknotting number, 2-bridge knot.
In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.
In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image.
In the mathematical area of knot theory, the crossing number of a knot is the smallest number of crossings of any diagram of the knot.
In knot theory, a figure-eight knot (also called Listing's knot or a Cavendish knot) is the unique knot with a crossing number of four.
In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed.
In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.
In topology, knot theory is the study of mathematical knots.
A loop in mathematics, in a topological space X is a continuous function f from the unit interval I.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
In the mathematical theory of knots, a satellite knot is a knot that contains an incompressible, non boundary-parallel torus in its complement.
A slice knot is a type of mathematical knot.
In knot theory, the stevedore knot is one of three prime knots with crossing number six, the others being the 62 knot and the 63 knot.
In knot theory, the three-twist knot is the twist knot with three-half twists.
In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3.
In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.
The unknot arises in the mathematical theory of knots.
In the mathematical area of knot theory, the unknotting number of a knot is the minimum number of times the knot must be passed through itself (crossing switch) to untie it.
In the mathematical field of knot theory, a 2-bridge knot is a knot which can be isotoped so that the natural height function given by the z-coordinate has only two maxima and two minima as critical points.