Covering the plane with congruent copies of a convex disk.
Smith, Edwin (1994)
Beiträge zur Algebra und Geometrie
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Smith, Edwin (1994)
Beiträge zur Algebra und Geometrie
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Suhyoung Choi (1999)
Mémoires de la Société Mathématique de France
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J. Pach (1986)
Discrete & computational geometry
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H. Groemer (1981)
Aequationes mathematicae
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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.
Lassak, Marek (1998)
Beiträge zur Algebra und Geometrie
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Weißbach, Bernulf (2000)
Beiträge zur Algebra und Geometrie
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Takao Yamaguchi (1982)
Annales scientifiques de l'École Normale Supérieure
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Mark E. Feighn (1986)
Collectanea Mathematica
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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.