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

Myers, Robert

doi:10.1090/S0002-9939-99-05163-1

On covering translations and homeotopy groups of contractible open n-manifolds
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Proc. Amer. Math. Soc. 128 (2000), 1563-1566 Request permission

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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