Strongly almost trivial θ-curves

Youngsik Huh; Gyo Taek Jin; Seungsang Oh

doi:10.1142/S0218216502001548

Strongly almost trivial θ-curves

Youngsik Huh, Gyo Taek Jin, Seungsang Oh

Research output: Contribution to journal › Article › peer-review

2 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 language	English
Pages (from-to)	153-164
Number of pages	12
Journal	Journal of Knot Theory and its Ramifications
Volume	11
Issue number	2
DOIs	https://doi.org/10.1142/S0218216502001548
Publication status	Published - 2002
Externally published	Yes

Keywords

Almost trivial
Atom
Strongly almost trivial
θ-curve

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216502001548

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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.",

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author = "Youngsik Huh and Jin, {Gyo Taek} and Seungsang Oh",

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AU - Oh, Seungsang

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KW - Atom

KW - Strongly almost trivial

KW - θ-curve

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Strongly almost trivial θ-curves

Abstract

Keywords

ASJC Scopus subject areas

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