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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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A short proof of Bing’s characterization of $S^3$
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by Yo’av Rieck PDF
Proc. Amer. Math. Soc. 135 (2007), 1947-1948 Request permission

Abstract:

We give a short proof of Bing’s characterization of $S^3$: a compact, connected 3-manifold $M$ is $S^3$ if and only if every knot in $M$ is isotopic into a ball.
References
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Additional Information
  • Yo’av Rieck
  • Affiliation: Department of Mathematical Sciences, 301 SCEN, University of Arkansas, Fayetteville, Arkansas 72701
  • MR Author ID: 660621
  • Email: yoav@uark.edu
  • Received by editor(s): April 25, 2005
  • Received by editor(s) in revised form: January 27, 2006
  • Published electronically: January 31, 2007
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1947-1948
  • MSC (2000): Primary 57M40; Secondary 57N12
  • DOI: https://doi.org/10.1090/S0002-9939-07-08657-1
  • MathSciNet review: 2286108