Representing 3-manifolds by Dehn spheres



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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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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
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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