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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the torus theorem and its applications
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by C. D. Feustel PDF
Trans. Amer. Math. Soc. 217 (1976), 1-43 Request permission

Abstract:

In this paper, we prove the torus theorem and that manifolds in a certain class of 3-manifolds with toral boundary are determined by their fundamental groups alone. Both of these results were reported by F. Waldhausen. We also give an extension of Waldhausen’s generalization of the loop theorem.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 217 (1976), 1-43
  • MSC: Primary 57A10
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0394666-3
  • MathSciNet review: 0394666