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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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There are knots whose tunnel numbers go down under connected sum
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by Kanji Morimoto
Proc. Amer. Math. Soc. 123 (1995), 3527-3532
DOI: https://doi.org/10.1090/S0002-9939-1995-1317043-4

Abstract:

In this paper, we show that there are infinitely many tunnel number two knots K such that the tunnel number of $K\# K’$ is equal to two again for any 2-bridge knot $K’$.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3527-3532
  • MSC: Primary 57M25
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1317043-4
  • MathSciNet review: 1317043