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The Long Annulus Theorem

Published online by Cambridge University Press:  20 November 2018

Benny Evans
Benny Evans*
Affiliation:
Oklahoma State University, Stillwater, OK 74078
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Abstract

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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.

Keywords

57M99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 257 - 267
Copyright
Copyright © Canadian Mathematical Society 1986

References

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