Satellite knot

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In the mathematical area of knot theory, a satellite knot is a knot which contains an incompressible, non-boundary parallel torus in its complement. The class of satelllite knots include composite knots (such knots contain the so-called swallow-follow torus). A satellite knot can be picturesquely described as one obtained by taking a nontrivial knot lying inside a solid torus, and then tying up the solid torus into a nontrivial knot.

[edit] References

  • Colin Adams, The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots, (2001), ISBN 0-7167-4219-5
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