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

Robert Myers

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arXiv · math/9812066

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

Robert Myers

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Abstract

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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Robert Myers. 1998-12-10. On covering translations and homeotopy groups of contractible open n-manifolds. https://arxiv.org/abs/math/9812066

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