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Whitehead link

Index Whitehead link

In knot theory, the Whitehead link, named for J. H. C. Whitehead, is one of the most basic links. [1]

22 relations: Braid theory, Catalan's constant, Figure-eight knot (mathematics), Hyperbolic volume, J. H. C. Whitehead, Jones polynomial, Knot theory, L10a140 link, Link (knot theory), Link group, Linking number, Mjölnir, Poincaré conjecture, Pretzel link, Proceedings of the American Mathematical Society, Reidemeister move, Satellite knot, Solomon's knot, Unknot, Unlink, Weeks manifold, Whitehead manifold.

Braid theory

In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations.

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Catalan's constant

In mathematics, Catalan's constant, which appears in combinatorics, is defined by where is the Dirichlet beta function.

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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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Hyperbolic volume

In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric.

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J. H. C. Whitehead

John Henry Constantine Whitehead FRS (11 November 1904 – 8 May 1960), known as Henry, was a British mathematician and was one of the founders of homotopy theory.

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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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L10a140 link

In the mathematical theory of knots, L10a140 is the name in the of a link of three loops, which has ten crossings between the loops when presented in its simplest visual form.

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Link (knot theory)

In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together.

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Link group

In knot theory, an area of mathematics, the link group of a link is an analog of the knot group of a knot.

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Linking number

In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space.

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Mjölnir

In Norse mythology, Mjölnir (Mjǫllnir) is the hammer of Thor, the Norse god associated with thunder.

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Poincaré conjecture

In mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.

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Pretzel link

In the mathematical theory of knots, a pretzel link is a special kind of link.

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Proceedings of the American Mathematical Society

Proceedings of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society.

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Reidemeister move

In the mathematical area of knot theory, a Reidemeister move is any of three local moves on a link diagram.

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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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Solomon's knot

Solomon's knot (Latin: sigillum Salomonis, literally 'Solomon's seal') is the most common name for a traditional decorative motif used since ancient times, and found in many cultures.

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Unknot

The unknot arises in the mathematical theory of knots.

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Unlink

In the mathematical field of knot theory, the unlink is a link that is equivalent (under ambient isotopy) to finitely many disjoint circles in the plane.

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Weeks manifold

In mathematics, the Weeks manifold, sometimes called the Fomenko–Matveev–Weeks manifold, is a closed hyperbolic 3-manifold obtained by (5, 2) and (5, 1) Dehn surgeries on the Whitehead link.

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Whitehead manifold

In mathematics, the Whitehead manifold is an open 3-manifold that is contractible, but not homeomorphic to R3.

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L5a1 link.

References

[1] https://en.wikipedia.org/wiki/Whitehead_link

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