On covering translations and homeotopy groups of contractible open manifolds
Author:
Robert Myers
Journal:
Proc. Amer. Math. Soc. 128 (2000), 15631566
MSC (1991):
Primary 57M10; Secondary 57N10, 57N13, 57N15, 57N37, 57M60, 57S30
Published electronically:
October 6, 1999
MathSciNet review:
1641077
Fulltext PDF Free Access
Abstract 
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Additional Information
Abstract: This paper gives a new proof of a result of Geoghegan and Mihalik which states that whenever a contractible open manifold which is not homeomorphic to is a covering space of an manifold and either or and is irreducible, then the group of covering translations injects into the homeotopy group of .
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 5.
 M. H. Freedman and F. Quinn, Topology of 4manifolds. Princeton Mathematical Series 39, Princeton University Press, Princeton, NJ, 1990. MR 94b:57021
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 E. E. Moise, Affine structures in manifolds. V. The triangulation theorem and Hauptvermutung. Ann. of Math. (2) 56, (1952), 96114. MR 14:72d
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 R. Myers, Contractible open 3manifolds which nontrivially cover only noncompact 3manifolds, Topology 38, (1999), 8594. CMP 98:17
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 D. G. Wright, Contractible open manifolds which are not covering spaces, Topology 31 (1992), 281291. MR 93f:57004
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Additional Information
Robert Myers
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
Email:
myersr@math.okstate.edu
DOI:
http://dx.doi.org/10.1090/S0002993999051631
PII:
S 00029939(99)051631
Keywords:
Contractible open manifold,
covering space,
homeotopy group,
mapping class group
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 DMS9022140.
Communicated by:
Ronald A. Fintushel
Article copyright:
© Copyright 2000
American Mathematical Society
