Abstract
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,...,P n be mutually distinct flat planes in ℝ3 such that no two of them are parallel. Then there is a link L′ = L{1}′ ∪ L{2}′ ∪ \cdots ∪ L{n}′ in ℝ3 such that L is ambient isotopic to L′ and L{i}′ \subset P{i} for each i, 1 ≤ i ≤ n.
Original language | English |
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Article number | 1550039 |
Journal | Journal of Knot Theory and its Ramifications |
Volume | 24 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2015 Jun 3 |
Keywords
- Brunnian link
- Link
- plane number
- plane-arrangement
ASJC Scopus subject areas
- Algebra and Number Theory