Knot Exterior

The exterior of a knot K is the complement of an open solid torus knotted like K. The removed open solid torus is called a tubular neighborhood (Adams 1994, p. 258).

See also

Knot Complement, Gordon-Luecke Theorem, Tubular Neighborhood

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Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, 1994.

Referenced on Wolfram|Alpha

Knot Exterior

Cite this as:

Weisstein, Eric W. "Knot Exterior." From MathWorld--A Wolfram Web Resource.

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