On covering translations and homeotopy groups of contractible open <IMG ALIGN=BOTTOM HEIGHT=9 WIDTH=10>-manifolds期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On covering translations and homeotopy groups of contractible open -manifolds

Authors:	Robert Myers

Institution:	Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078

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 $\mathbf{R}^n$ is a covering space of an -manifold and either $n \geq 4$ or and is irreducible, then the group of covering translations injects into the homeotopy group of .

Keywords:	Contractible open manifold covering space homeotopy group mapping class group

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