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

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 $n\ge 4$ or $n=3$ and $W$ is irreducible, then the group of covering translations injects into the homeotopy group of $W$.

4 pages, LaTeX, amsart style