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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Engulfing and finitely generated groups
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by Richard Skora PDF
Proc. Amer. Math. Soc. 97 (1986), 734-736 Request permission

Abstract:

Let $M$ be a simply connected $3$-manifold and $K$ a piecewiselinear, simple loop in the interior of $M$. It is shown that there is a piecewiselinear, homotopy $3$-ball $\mathcal {B} \subset \mathring {M}$, such that $K \subset \mathring {\mathcal {B}}$ if and only if ${\pi _1}(M\backslash K)$ is finitely generated.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 734-736
  • MSC: Primary 57N10; Secondary 57M05, 57N30
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0845998-5
  • MathSciNet review: 845998