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The Long Annulus Theorem
Published online by Cambridge University Press: 20 November 2018
Abstract
Given a properly embedded incompressible surface F in a Haken manifold M, there is an integer n depending only on M and F with the following property: If there is a singular annulus in M that meets F in more then n nontrivial loops that are not freely homotopic on F then M contains an essential torus or annulus, or M is a bundle with fiber F, or M is a doubled twisted I-bundle with doubling surface F.
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- Copyright © Canadian Mathematical Society 1986