Mapping a knot by a continuous map

Kouki Taniyama*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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

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

ASJC Scopus subject areas

  • Algebra and Number Theory

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