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arxiv: math/9812066 · v1 · submitted 1998-12-10 · 🧮 math.GT

On covering translations and homeotopy groups of contractible open n-manifolds

classification 🧮 math.GT
keywords coveringcontractiblegrouphomeotopymanifoldopentranslationseither
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This paper gives a new proof of a result of Geoghegan and Mihalik which states that whenever a contractible open $n$-manifold $W$ which is not homeomorphic to $\mathbf{R}^n$ is a covering space of an $n$-manifold $M$ and either $n \geq 4$ or $n=3$ and $W$ is irreducible, then the group of covering translations injects into the homeotopy group of $W$.

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