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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Self delta-equivalence of cobordant links
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by Yasutaka Nakanishi, Tetsuo Shibuya and Akira Yasuhara PDF
Proc. Amer. Math. Soc. 134 (2006), 2465-2472 Request permission

Abstract:

Self $\Delta$-equivalence is an equivalence relation for links, which is stronger than the link-homotopy defined by J. Milnor. It is known that cobordant links are link-homotopic and that they are not necessarily self $\Delta$-equivalent. In this paper, we will give a sufficient condition for cobordant links to be self $\Delta$-equivalent.
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Additional Information
  • Yasutaka Nakanishi
  • Affiliation: Department of Mathematics, Kobe University, Nada, Kobe 657-8501, Japan
  • Email: nakanisi@math.kobe-u.ac.jp
  • Tetsuo Shibuya
  • Affiliation: Department of Mathematics, Osaka Institute of Technology, Omiya 5-16-1, Asahi, Osaka 535-8585, Japan
  • Email: shibuya@ge.oit.ac.jp
  • Akira Yasuhara
  • Affiliation: Department of Mathematics, Tokyo Gakugei University, Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan
  • MR Author ID: 320076
  • Email: yasuhara@u-gakugei.ac.jp
  • Received by editor(s): October 19, 2004
  • Received by editor(s) in revised form: March 3, 2005
  • Published electronically: February 3, 2006
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2465-2472
  • MSC (2000): Primary 57M25
  • DOI: https://doi.org/10.1090/S0002-9939-06-08234-7
  • MathSciNet review: 2213721