Minimal atlases of manifolds
Alberto Cavicchioli, Luigi Grasselli (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Alberto Cavicchioli, Luigi Grasselli (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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José María Montesinos-Amilibia (2002)
Revista Matemática Complutense
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It is proved that the Freudenthal compactification of an open, connected, oriented 3-manifold is a 3-fold branched covering of S, and in some cases, a 2-fold branched covering of S. The branching set is a locally finite disjoint union of strings.
Arkadiusz Dobrowolski (1989)
Colloquium Mathematicae
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John Hempel (1982)
Inventiones mathematicae
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Luigi Grasselli, Michele Mulazzani (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Mark E. Feighn (1986)
Collectanea Mathematica
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Wilhelm Singhof (1979)
Manuscripta mathematica
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Ricardo Piergallini (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan (2005)
Geometry & Topology
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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.
Iori, Massimiliano, Piergallini, Riccardo (2002)
Geometry & Topology
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Peter Teichner (1993)
Mathematische Annalen
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