Splittable Link

A link L is said to be splittable if a plane can be embedded in R^3 such that the plane separates one or more components of L from other components of L and the plane is disjoint from L. Otherwise, L is said to be nonsplittable.

The numbers of nonsplittable links (either prime or composite) with n=0, 1, ... crossings are 1, 0, 1, 1, 3, 4, 15, ... (OEIS A086826).

See also

Composite Link, Link, Prime Link, Splitting

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Finch, S. "Knots, Links, and Tangles.", N. J. A. Sequence A086826 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Splittable Link

Cite this as:

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

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