Strongly almost trivial θ-curves

Youngsik Huh, Gyo Taek Jin, Seungsang Oh

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A θ-curve is called almost trivial if it does not contain any non-trivial knot. A θ-curve is called strongly almost trivial if it has a planar projection which does not contain a projection of any non-trivial knot. In this paper, we introduce a method to present strongly almost trivial θ-curves. We also give an almost trivial θ-curve which may not be strongly almost trivial.

Original languageEnglish
Pages (from-to)153-164
Number of pages12
JournalJournal of Knot Theory and its Ramifications
Volume11
Issue number2
DOIs
Publication statusPublished - 2002 Aug 26

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Keywords

  • Almost trivial
  • Atom
  • Strongly almost trivial
  • θ-curve

ASJC Scopus subject areas

  • Algebra and Number Theory

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