Affiliation:
1. Gakushuin Boys’ Junior High School, 1-5-1 Mejiro Toshima-ku, Tokyo 171-0031, Japan
Abstract
A knot [Formula: see text] is a minor of a knot [Formula: see text] if any regular projection of [Formula: see text] is also a regular projection of [Formula: see text]. This defines a pre-ordering on the set of all knots. For each knot of five or less crossings, the set of all regular projections of it is determined by Taniyama [A partial order of knots, Tokyo J. Math. 12(1) (1989) 205–229]. Thus, the pre-ordering is determined up to five crossing knots. In this paper, we determine the set of all regular projections of the knot [Formula: see text].
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
3 articles.
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