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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Bounding edge degrees in triangulated $3$-manifolds
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by Noel Brady, Jon McCammond and John Meier PDF
Proc. Amer. Math. Soc. 132 (2004), 291-298 Request permission

Abstract:

In this note we prove that every closed orientable $3$-manifold has a triangulation in which each edge has degree $4$, $5$ or $6$.
References
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Additional Information
  • Noel Brady
  • Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
  • Email: nbrady@math.ou.edu
  • Jon McCammond
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
  • MR Author ID: 311045
  • Email: jon.mccammond@math.ucsb.edu
  • John Meier
  • Affiliation: Department of Mathematics, Lafayette College, Easton, Pennsylvania 18042
  • Email: meierj@lafayette.edu
  • Received by editor(s): January 14, 2002
  • Received by editor(s) in revised form: August 8, 2002
  • Published electronically: May 7, 2003
  • Additional Notes: The first author was partially supported under NSF grant no. DMS-9996342
    The second author was partially supported under NSF grant no. DMS-9971682
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 291-298
  • MSC (2000): Primary 57Q15, 57M12
  • DOI: https://doi.org/10.1090/S0002-9939-03-06981-8
  • MathSciNet review: 2021273