Mapping a knot by a continuous map

    Research output: Contribution to journalArticle

    Abstract

    By a fixed continuous map from a 3-space to itself, a knot in the 3-space may be mapped to another knot in the 3-space. We analyze possible knot types of them. Then we map a knot repeatedly by a fixed continuous map and analyze possible infinite sequences of knot types.

    Original languageEnglish
    Article number1450052
    JournalJournal of Knot Theory and its Ramifications
    Volume23
    Issue number10
    DOIs
    Publication statusPublished - 2014 Sep 25

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    Continuous Map
    Knot

    Keywords

    • continuous map
    • discrete dynamical system
    • Knot
    • tent map

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Mapping a knot by a continuous map. / Taniyama, Kouki.

    In: Journal of Knot Theory and its Ramifications, Vol. 23, No. 10, 1450052, 25.09.2014.

    Research output: Contribution to journalArticle

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