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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

$ \sp{\ast} $-taming sets for crumpled cubes. I. Basic properties


Author: James W. Cannon
Journal: Trans. Amer. Math. Soc. 161 (1971), 429-440
MSC: Primary 54.78
MathSciNet review: 0282353
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1971-0282353-7
PII: S 0002-9947(1971)0282353-7
Keywords: Tame modulo tame sets, crumpled cubes, surfaces in 3-manifolds, taming sets, $ ^\ast$-taming sets, 2-spheres
Article copyright: © Copyright 1971 American Mathematical Society