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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On the torus theorem and its applications

Author: C. D. Feustel
Journal: Trans. Amer. Math. Soc. 217 (1976), 1-43
MSC: Primary 57A10
MathSciNet review: 0394666
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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

PII: S 0002-9947(1976)0394666-3
Keywords: Torus, annulus, essential map, essential embedding
Article copyright: © Copyright 1976 American Mathematical Society

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