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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Combinatorics of triangulations of $3$-manifolds
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by Feng Luo and Richard Stong PDF
Trans. Amer. Math. Soc. 337 (1993), 891-906 Request permission

Abstract:

In this paper, we study the average edge order of triangulations of closed $3$-manifolds and show in particular that the average edge order being less than $4.5$ implies that triangulation is on the $3$-sphere.
References
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  • Günter Ewald, Convex bodies and algebraic geometry, Discrete geometry and convexity (New York, 1982) Ann. New York Acad. Sci., vol. 440, New York Acad. Sci., New York, 1985, pp. 196–204. MR 809207, DOI 10.1111/j.1749-6632.1985.tb14554.x
  • Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 337 (1993), 891-906
  • MSC: Primary 57Q15; Secondary 57M15
  • DOI: https://doi.org/10.1090/S0002-9947-1993-1134759-6
  • MathSciNet review: 1134759