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Prime knots and concordance

Published online by Cambridge University Press:  24 October 2008

Robion C. Kirby  and
W. B. Raymond Lickorish
Robion C. Kirby
Affiliation:
University of California, Berkeley
W. B. Raymond Lickorish
Affiliation:
University of Cambridge
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Extract

This paper proves that any knot is concordant to a prime knot; it thus solves Problem 13 of (3). In doing so it makes an exploration of a fairly general method of proving that a knot is a prime. Throughout, the word ‘knot’ means a knot of S1 in S3 (orientations being here irrelevant); occasionally reference will be made to the idea of a knotted arc spanning a 3-ball.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 437 - 441
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

REFERENCES

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