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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.

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Presentations of $n$-knots
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by C. Kearton PDF
Trans. Amer. Math. Soc. 202 (1975), 123-140 Request permission

Abstract:

The method of critical level embeddings is used to generalize the technique of knot presentations from the classical case to the case of $n$-knots. For $n > 3$, it is shown that an $n$-knot with algebraically simple complement has a correspondingly simple presentation.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 202 (1975), 123-140
  • MSC: Primary 57C45
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0358795-1
  • MathSciNet review: 0358795