Annulus Theorem

Let and be disjoint bicollared knots in or and let denote the open regionbetween them. Then the closure of is a closed annulus . Except for the case , the theoremwas proved by Kirby (1969).

References

Kirby, R. C. ``Stable Homeomorphisms and the Annulus Conjecture.'' Ann. Math. 89, 575-582, 1969.

Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 38, 1976.

• Lagrange Inversion Theorem
• Lagrange Multiplier
• Lagrange Number (Diophantine Equation)
• Lagrange Number (Rational Approximation)
• Lagrange Polynomial
• Lagrange Remainder
• Lagrange Resolvent
• Lagrange's Continued Fraction Theorem
• Lagrange's Equation
• Lagrange's Four-Square Theorem
• Lagrange's Group Theorem
• Lagrange's Identity
• Lagrange's Interpolating Fundamental Polynomial
• Lagrange's Lemma
• Lagrange Spectrum
• Lagrangian Coefficient
• Lagrangian Derivative
• Laguerre Differential Equation
• Laguerre-Gauss Quadrature
• Laguerre Polynomial
• Laguerre Quadrature
• Laguerre's Method
• Laguerre's Repeated Fraction
• Laisant's Recurrence Formula
• Lakshmi Star