Affiliation:
1. Department of Mathematics Osaka City University Sugimoto, Sumiyoshi-ku, Osaka 558, Japan
Abstract
The weak unknotting number of a 2-knot K in a 4-sphere is the minimum number of elements g1, g2,…, gn of the knot group πK of K such that πK becomes the infinite cyclic group by adding the relations gix=xgi, where x is a meridian. We give an example of the nonadditivity of the weak unknotting number under connected sum of 2-knots.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
5 articles.
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