Companion Knot
المؤلف:
Adams, C. C.
المصدر:
The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman,
الجزء والصفحة:
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20-6-2021
2151
Companion Knot
Let
be a knot that is geometrically essential in a standard embedding of the solid torus
in the three-sphere
. Let
be another knot and let
be a tubular neighborhood of
in
. Finally, let
be a homeomorphism and let
. Then
is a companion knot of the knot
(Rolfsen 1976, p. 111) and
is called the satellite knot of
(Adams 1994, pp. 115-118).
REFERENCES:
Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 115-118, 1994.
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 225, 1976.
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