The prime link 05-0201, illustrated above, with braid word or and Jones
polynomial
The Whitehead link has linking number 0. It was discovered by Whitehead in 1934 (Whitehead 1962, pp. 21-50) as a counterexample
to a piece of an attempted proof of the Poincaré
conjecture (Milnor).
See also Borromean Rings ,
Hopf Link ,
Link ,
Poincaré
Conjecture ,
Prime Link ,
Unlink
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References Kauffman, L. Knots and Physics. Teaneck, NJ: World Scientific, p. 36, 1991. Livingston,
C. Knot
Theory. Washington, DC: Math. Assoc. Amer., pp. 9 and 37-38, 1993. Milnor,
J. "The Poincaré Conjecture." http://www.claymath.org/millennium/Poincare_Conjecture/Official_Problem_Description.pdf . Rolfsen,
D. Knots
and Links. Wilmington, DE: Publish or Perish Press, pp. 68, 72, and
137, 1976. Whitehead, J. H. C. Mathematical
Works, Vol. 2. London: Pergamon Press, pp. 21-50, 1962. Referenced
on Wolfram|Alpha Whitehead Link
Cite this as:
Weisstein, Eric W. "Whitehead Link." From
MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/WhiteheadLink.html
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