Split link
In the mathematical field of knot theory, a split link is a link that has a (topological) 2-sphere in its complement separating one or more link components from the others.Whether a link is split or non-split corresponds to whether the link complement is reducible or irreducible as a 3-manifold.A link with an alternating diagram, i.e. an alternating link, will be non-split if and only if this diagram is connected.This is a result of the work of William Menasco.This knot theory-related article is a stub.