Proves any three or more knots can form a genus-zero link in a 3-manifold.
problem Realizing any finite collection of knots as components of a genus-zero link.
method Proves the realizability of knots as components of genus-zero links in 3-manifolds, controlling pairwise linking numbers.
result Any finite collection of at least three isotopy classes of knots can form a genus-zero link in a 3-manifold, satisfying a specific condition.