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

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

1998-12-10

arxiv.org/abs/math/9812066v1

Mathematics

Geometric Topology

4 pages, LaTeX, amsart style

Scientific paper

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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