Link Invariant

A link invariant is a function from the set of all links to any other set such that the function does not change as the link is changed (up to isotopy). In other words, a link invariant always assigns the same value to equivalent links (although different knots may have the same link invariant). When the link has a single component and therefore generates to a knot, the invariant is called a knot invariant.

See also

Knot, Knot Invariant, Link

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Cite this as:

Weisstein, Eric W. "Link Invariant." From MathWorld--A Wolfram Web Resource.

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