Displaying similar documents to “On the simple connectivity at infinity of groups”

Flats in 3-manifolds

Michael Kapovich (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Minimal atlases of manifolds

Alberto Cavicchioli, Luigi Grasselli (1985)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space

Hanspeter Fischer, David G. Wright (2003)

Fundamenta Mathematicae

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Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.