Abstract:In this note we prove that every closed orientable $3$-manifold has a triangulation in which each edge has degree $4$, $5$ or $6$.
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- Noel Brady
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- Email: firstname.lastname@example.org
- Jon McCammond
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 311045
- Email: email@example.com
- John Meier
- Affiliation: Department of Mathematics, Lafayette College, Easton, Pennsylvania 18042
- Email: firstname.lastname@example.org
- 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