Branched covers according to J. W. Alexander.
Mark E. Feighn (1986)
Collectanea Mathematica
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Mark E. Feighn (1986)
Collectanea Mathematica
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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.
Alberto Cavicchioli, Luigi Grasselli (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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.
Adam Idzik, Konstanty Junosza-Szaniawski (2005)
Discussiones Mathematicae Graph Theory
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We formulate general boundary conditions for a labelling to assure the existence of a balanced n-simplex in a triangulated polyhedron. Furthermore we prove a Knaster-Kuratowski-Mazurkiewicz type theorem for polyhedrons and generalize some theorems of Ichiishi and Idzik. We also formulate a necessary condition for a continuous function defined on a polyhedron to be an onto function.
Apostolakis, Nikos (2003)
Algebraic & Geometric Topology
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Ricardo Piergallini (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Banagl, Markus, Friedman, Greg (2004)
Algebraic & Geometric Topology
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Iori, Massimiliano, Piergallini, Riccardo (2002)
Geometry & Topology
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Tadeusz Januszkiewicz, Jacek Świątkowski (2006)
Publications Mathématiques de l'IHÉS
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We introduce a family of conditions on a simplicial complex that we call local -largeness (≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as...
Michael Gromov (1982)
Publications Mathématiques de l'IHÉS
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