Plane number of links

Shosaku Matsuzaki

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    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 languageEnglish
    Article number1550039
    JournalJournal of Knot Theory and its Ramifications
    Volume24
    Issue number7
    DOIs
    Publication statusPublished - 2015 Jun 3

    Keywords

    • Brunnian link
    • Link
    • plane number
    • plane-arrangement

    ASJC Scopus subject areas

    • Algebra and Number Theory

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