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Bridge numbers of torus knots

Published online by Cambridge University Press:  01 November 2007

JENNIFER SCHULTENS
JENNIFER SCHULTENS*
Affiliation:
Department of Mathematics, 1 Shields Avenue, University of California, Davis, CA 95616, U.S.A. e-mail: [email protected]
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Abstract

We provide a new self contained proof of the following result of H. Schubert: If K is a (p,q)-torus knot, then the bridge number of K is min{p, q}.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 3 , November 2007 , pp. 621 - 625
Copyright
Copyright © Cambridge Philosophical Society 2007

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References

REFERENCES

[1]Schubert, H.. Knoten und Vollringe. Acta Math. 90 (1953), 131–286.CrossRefGoogle Scholar
[2]Schubert, H.. über eine numerische Knoteninvariante. Math. Z. 61 (1954), 245–288.Google Scholar
[3]Schultens, J.. Additivity of bridge numbers of knots. Math. Proc. Camb. Phil. Soc. 135 (2003), 3, 539–544.Google Scholar