%0 Book Section
%T Representing 3-manifolds by Dehn spheres
publisher Editorial Complutense
%D 2000
%U 84-7491-581-3
%@ https://hdl.handle.net/20.500.14352/60752
%X 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.
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