Plane number of links
Shosaku Matsuzaki · Journal of Knot Theory and Its Ramifications · 2015
Let L = L1 ∪ L2 ∪ ⋯ ∪ Ln be a link in ℝ3 such that Li is a trivial link for each i, 1 ≤ i ≤ n. Let P1, P2,…,Pn be mutually distinct flat planes in ℝ3 such that no two of them are parallel. Then there is a link [Formula: see text] in ℝ3 such that L is ambient isotopic to L′ and [Formula: see text] for each i, 1 ≤ i ≤ n.