Myers, Robert2025-01-152025-01-151999-10-06Myers, R. (1999). On covering translations and homeotopy groups of contractible open n-manifolds. Proceedings of the American Mathematical Society, 128(5), pp. 1563-1566. https://doi.org/10.1090/s0002-9939-99-05163-10002-9939https://hdl.handle.net/20.500.14446/345771This 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 Rⁿ is a covering space of an n-manifold M and either n ≥ 4 or n = 3 and W is irreducible, then the group of covering translations injects into the homeotopy group of W. ©2000 American Mathematical Society.application/pdfThis material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information.10.1090/s0002-9939-99-05163-1Articlenumerical and computational mathematicspure mathematicsmathematical sciencescontractible open manifoldcovering spacehomeotopy groupmapping class groupORCID: 0009-0008-5271-4140 (Myers, R)ScopusID: 7403700679 (Myers, R)1088-6826