Geodesic
The Long Annulus Theorem
Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 257-267

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1986-040-4
Mots-clés : 57M99 
Evans, Benny. The Long Annulus Theorem. Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 257-267. doi: 10.4153/CMB-1986-040-4
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