Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds

Details Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds

1996-06-24

arxiv.org/abs/math/9606225v1

Mathematics

Geometric Topology

Scientific paper

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}.)

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