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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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Covering moves
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by R. Piergallini PDF
Trans. Amer. Math. Soc. 325 (1991), 903-920 Request permission

Abstract:

In this paper we give a positive answer to a long standing question posed by Montesinos, by introducing new covering moves, in order to relate any two colored diagrams representing the same $3$-manifold as simple branched $3$-covering of ${S^3}$.
References
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 325 (1991), 903-920
  • MSC: Primary 57M12; Secondary 57N10
  • DOI: https://doi.org/10.1090/S0002-9947-1991-1010413-4
  • MathSciNet review: 1010413