A short proof of Bing’s characterization of $S^3$
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- by Yo’av Rieck PDF
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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