Manifolds as branched covers of spheres.
Ricardo Piergallini (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Ricardo Piergallini (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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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.
Iori, Massimiliano, Piergallini, Riccardo (2002)
Geometry & Topology
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Luigi Grasselli, Michele Mulazzani (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Maria Rita Casali (1992)
Revista Matemática de la Universidad Complutense de Madrid
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In this work, we prove that every closed, orientable 3-manifold M which is a two-fold covering of S branched over a link, has type six.
José María Montesinos-Amilibia (2003)
Revista Matemática Complutense
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In this paper, a representation of closed 3-manifolds as branched coverings of the 3-sphere, proved in [13], and showing a relationship between open 3-manifolds and wild knots and arcs will be illustrated by examples. It will be shown that there exist a 3-fold simple covering p : S --> S branched over the remarkable simple closed curve of Fox [4] (a wild knot). Moves are defined such that when applied to a branching set, the corresponding covering manifold remains unchanged, while...
Karol Borsuk, Rimas Vaina (1979)
Colloquium Mathematicae
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Rastislav Telgársky (1976)
Colloquium Mathematicae
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Dumitrescu, Adrian, Jiang, Minghui (2010)
Beiträge zur Algebra und Geometrie
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Joós, Antal (2008)
Beiträge zur Algebra und Geometrie
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Grigorian, S.A., Gumerov, R.N. (2002)
Lobachevskii Journal of Mathematics
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