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.

## Alexander polynomial

In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.

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## Chiral knot

In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image.

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## Crossing number (knot theory)

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.

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## Figure-eight knot (mathematics)

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.

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## Invertible knot

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.

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## Jones polynomial

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.

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## Knot theory

In topology, knot theory is the study of mathematical knots.

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## Loop (topology)

A loop in mathematics, in a topological space X is a continuous function f from the unit interval I.

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## Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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## Satellite knot

In the mathematical theory of knots, a satellite knot is a knot that contains an incompressible, non boundary-parallel torus in its complement.

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## Slice knot

A slice knot is a type of mathematical knot.

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## Stevedore knot (mathematics)

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.

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## Three-twist knot

In knot theory, the three-twist knot is the twist knot with three-half twists.

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## Torus knot

In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3.

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## Trefoil knot

In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.

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## Unknot

The unknot arises in the mathematical theory of knots.

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## Unknotting number

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.

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## 2-bridge knot

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.

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## Redirects here:

10 1 knot, 11 2 knot, 7 2 knot, 8 1 knot, 9 2 knot.