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 n -manifold W W which is not homeomorphic to R n \mathbf {R}^n is a covering space of an n n -manifold M M and either n ≥ 4 n \geq 4 or n = 3 n=3 and W W is irreducible, then the group of covering translations injects into the homeotopy group of W W .