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Knot Complement

Two distinct Knots cannot have the same knot complement (Gordon and Luecke 1989).


References

Cipra, B. ``To Have and Have Knot: When are Two Knots Alike?'' Science 241, 1291-1292, 1988.

Gordon, C. and Luecke, J. ``Knots are Determined by their Complements.'' J. Amer. Math. Soc. 2, 371-415, 1989.




© 1996-9 Eric W. Weisstein
1999-05-26