Mapping a knot by a continuous map

Kouki Taniyama*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Issue number10
Publication statusPublished - 2014 Sept 25


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

ASJC Scopus subject areas

  • Algebra and Number Theory


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

Cite this