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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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$^{\ast }$-taming sets for crumpled cubes. I. Basic properties
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by James W. Cannon
Trans. Amer. Math. Soc. 161 (1971), 429-440
DOI: https://doi.org/10.1090/S0002-9947-1971-0282353-7

Abstract:

Is a surface in a 3-manifold tame if it is tame modulo a tame set? This question was answered by the author through the introduction and characterization of taming sets. The purpose of this paper is to introduce and establish the basic properties of the more general and more flexible, but closely related, $^ \ast$-taming set.
References
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Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 161 (1971), 429-440
  • MSC: Primary 54.78
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0282353-7
  • MathSciNet review: 0282353