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Montesinos Amilibia, José María
(2000)
*Representing 3-manifolds by Dehn spheres.*
In
Contribuciones matemáticas : libro homenaje al profesor D. Joaquín Arregui Fernández.
Editorial Complutense, Madrid, pp. 239-247.
ISBN 84-7491-581-3

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## Abstract

Let M be a closed orientable 3-manifold. A Dehn sphere S is a 2-sphere immersed in M with only double curve and triple point singularities. S fills M if S defines a cell decomposition of M. It is proven that every closed orientable 3-manifold has a filling Dehn sphere. Examples are given, and Johansson diagrams are proposed as a method for representing all closed orientable 3-manifolds.

Item Type: | Book Section |
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Uncontrolled Keywords: | 3-manifold; Dehn sphere; Johansson diagram; Heegaard diagram |

Subjects: | Sciences > Mathematics > Differential geometry Sciences > Mathematics > Topology |

ID Code: | 22238 |

Deposited On: | 05 Jul 2013 16:52 |

Last Modified: | 12 Dec 2018 15:13 |

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