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.An n-component link L ⊂ S3 is an unlink if and only if there exists n disjointly embedded discs Di ⊂ S3 such that L = ∪i∂Di.A link with one component is an unlink
if and only if it is isotopic to the
unknot.The
Hopf link is a simple example of a link with two components that is not an unlink.The
Borromean rings form a link with three components that is not an unlink; however, any two of the rings considered on their own do form a two-component unlink.Kanenobu has shown that for all n > 1 there exists a
hyperbolic link of n components such that any proper sublink is an unlink. The
Whitehead link and
Borromean rings are such examples for n = 2, 3.
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Unlink
(v. t.)
To separate or undo, as links; to uncoil; to unfasten.
Webster's Revised Unabridged Dictionary (1913), edited by Noah Porter.
About
unlink
v. a.
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unlink
UNLINK
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