2-bridge knot

In the mathematical field of knot theory, a 2-bridge knot is a knot which can be regular isotoped so that the natural height function given by the z-coordinate has only two maxima and two minima as critical points. ^[1]

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Table of Contents

1. 3 relations: John Horton Conway, Knot (mathematics), Regular isotopy.

2. Knot theory stubs

John Horton Conway

John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

See 2-bridge knot and John Horton Conway

Knot (mathematics)

In mathematics, a knot is an embedding of the circle into three-dimensional Euclidean space, (also known as). Often two knots are considered equivalent if they are ambient isotopic, that is, if there exists a continuous deformation of which takes one knot to the other.

See 2-bridge knot and Knot (mathematics)

Regular isotopy

In the mathematical subject of knot theory, regular isotopy is the equivalence relation of link diagrams that is generated by using the 2nd and 3rd Reidemeister moves only. 2-bridge knot and regular isotopy are knot theory and knot theory stubs.

See 2-bridge knot and Regular isotopy

See also

Knot theory stubs

• 2-bridge knot
• Alexander matrix
• Alexander's theorem
• Algebraic link
• Band sum
• Bing double
• Conway sphere
• Crosscap number
• Flype
• Kauffman polynomial
• Knot complement
• Knot operation
• Knots in Washington
• Legendrian knot
• Markov theorem
• Milnor conjecture (knot theory)
• Mutation (knot theory)
• Physical knot theory
• Quantum invariant
• Regular isotopy
• Self-linking number
• Slice genus
• Split link
• Stuck unknot
• The Knot Atlas
• Thurston–Bennequin number
• Transverse knot
• Unknotting number
• Wild knot

References

[1] https://en.wikipedia.org/wiki/2-bridge_knot

Also known as 2 bridge knot, 4-plats, Rational knot, Rational link, Viergeflechte.

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