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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Finite covers of $3$-manifolds containing essential tori
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by John Luecke
Trans. Amer. Math. Soc. 310 (1988), 381-391
DOI: https://doi.org/10.1090/S0002-9947-1988-0965759-2
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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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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 310 (1988), 381-391
  • MSC: Primary 57N10; Secondary 57M10
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0965759-2
  • MathSciNet review: 965759