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

    Keywords

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

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Fingerprint Dive into the research topics of 'Mapping a knot by a continuous map'. Together they form a unique fingerprint.

  • Cite this