The universal cover of 3-manifolds built from injective handlebodies is $\mathbb R^3$

dc.creatorCoffey, James
dc.date2006-01-30
dc.date2007-01-31
dc.date.accessioned2026-07-07T07:43:51Z
dc.date.available2026-07-07T07:43:51Z
dc.descriptionThis paper gives a proof that the universal cover of a closed 3-manifold built from three $π_1$-injective handlebodies is homeomorphic to $\mathbb R^3$. This construction is an extension to handlebodies of the conditions for gluing of three solid tori to produce non-Haken Seifert fibered manifolds with infinite fundamental group. This class of manifolds has been shown to contain non-Haken non-Seifert fibered manifolds.
dc.description21 pages, 9 figures. Minor gramatical changes
dc.identifierhttps://arxiv.org/abs/math/0601721
dc.identifierhttp://arxiv.org/abs/math/0601721
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122989
dc.subjectGeometric Topology
dc.subject57M
dc.titleThe universal cover of 3-manifolds built from injective handlebodies is $\mathbb R^3$
dc.typetext

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