Title: Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds
Abstract: Suppose $M$ is a closed, connected, orientable, \irr \3m such that $G=\pi_1(M)$ is infinite. One consequence of Thurston's geometrization conjecture is that the universal covering space $\widetilde{M}$ of $M$ must be \homeo to $\RRR$. This has been verified directly under several different additional assumptions on $G$. (See, for example, \cite{2}, \cite{3}, \cite{6}, \cite{19}.)
Publication Year: 1996
Publication Date: 1996-06-24
Language: en
Type: preprint
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Cited By Count: 2
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