The universal covering space of a Haken $n$--manifold

Details The universal covering space of a Haken $n$--manifold The universal covering space of a Haken $n$--manifold

2011-08-02

arxiv.org/abs/1108.0474v3

Mathematics

Geometric Topology

10 pages

Scientific paper

We define the class of Haken $n$--manifolds as a generalisation of Haken
3--manifolds. We prove that the interior of the universal covering of a Haken
$n$--manifold is $\RR^n$, which generalises a result of Waldhausen. The
techniques used allow us to provide a new proof of Waldhausen's universal cover
theorem for Haken 3--manifolds.

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