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On satellite knots

Published online by Cambridge University Press:  24 October 2008

Masaharu Kouno  and
Kimihiko Motegi
Masaharu Kouno
Affiliation:
Kobe University, Kobe 657, Japan
Kimihiko Motegi
Affiliation:
Nihon University, Tokyo 156, Japan
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Extract

Throughout this paper we work in the smooth category and assume that all knots are oriented and consider two knots K1 and K2 to be equivalent if and only if there is an orientation preserving homeomorphism h:S3→S3 which carries K1 onto K2 so that their orientations match. We write K1 ≅ K2 if K1 and K2 are equivalent and – K denotes the knot obtained from K by inverting its orientation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 2 , March 1994 , pp. 219 - 228
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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