Let and be disjoint bicollared knots in or and let denote the open region between them. Then the closure of is a closed annulus . Except for the case , the theorem was 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.

© 1996-9

1999-05-25