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2-bridge knot

Index 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. [1]

10 relations: Bridge number, Horst Schubert, John Horton Conway, Knot (mathematics), Knot theory, Lens space, Mathematics, Regular isotopy, Tangle (mathematics), 3-sphere.

Bridge number

In the mathematical field of knot theory, the bridge number is an invariant of a knot defined as the minimal number of bridges required in all the possible bridge representations of a knot.

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Horst Schubert

Horst Schubert (11 June 1919 – 2001) was a German mathematician.

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John Horton Conway

John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

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Knot (mathematics)

In mathematics, a knot is an embedding of a circle S^1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies).

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Knot theory

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

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Lens space

A lens space is an example of a topological space, considered in mathematics.

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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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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.

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Tangle (mathematics)

In mathematics, a tangle is generally one of two related concepts.

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3-sphere

In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.

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Redirects here:

2 bridge knot, 4-plats, Rational knot, Rational link, Viergeflechte.

References

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

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