Tubular Neighborhood

A tubular neighborhood of a submanifold N in M is an embedding of the normal bundle (nu_N) of N into M, i.e., f:nu_N->M, where the image of the zero section of the normal bundle is equal to N in M.

See also

Ball, Embedding, Knot Exterior

This entry contributed by Ryan Budney

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Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, p. 258, 1994.Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 34-35, 1976.

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Tubular Neighborhood

Cite this as:

Budney, Ryan. "Tubular Neighborhood." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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