Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Finite covers of $ 3$-manifolds containing essential tori

Author: John Luecke
Journal: Trans. Amer. Math. Soc. 310 (1988), 381-391
MSC: Primary 57N10; Secondary 57M10
MathSciNet review: 965759
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Abstract: It is shown in this paper that if a Haken $ 3$-manifold contains an incompressible torus that is not boundary-parallel then either it has a finite cover that is a torus-bundle over the circle or it has finite covers with arbitrarily large first Betti number.

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Article copyright: © Copyright 1988 American Mathematical Society