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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122989This 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.21 pages, 9 figures. Minor gramatical changesGeometric Topology57MThe universal cover of 3-manifolds built from injective handlebodies is $\mathbb R^3$text