On covering translations and homeotopy groups of contractible open n-manifolds
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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 $W$.References
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Additional Information
- Robert Myers
- Affiliation: Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
- Email: myersr@math.okstate.edu
- Received by editor(s): October 17, 1997
- Received by editor(s) in revised form: July 10, 1998
- Published electronically: October 6, 1999
- Additional Notes: Research at MSRI is supported in part by NSF grant DMS-9022140.
- Communicated by: Ronald A. Fintushel
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1563-1566
- MSC (1991): Primary 57M10; Secondary 57N10, 57N13, 57N15, 57N37, 57M60, 57S30
- DOI: https://doi.org/10.1090/S0002-9939-99-05163-1
- MathSciNet review: 1641077