M ar 2 00 3 ALMOST NORMAL HEEGAARD SURFACES
نویسنده
چکیده
We present a new and shorter proof of Stocking's result that any strongly irreducible Heegaard surface of a closed orientable triangulated 3– manifold is isotopic to an almost normal surface. We also reprove a result of Jaco and Rubinstein on normal spheres.
منابع مشابه
ar X iv : m at h / 03 03 37 7 v 2 [ m at h . G T ] 1 3 Ju n 20 03 ALMOST NORMAL HEEGAARD SURFACES
We present a new and shorter proof of Stocking's result that any strongly irreducible Heegaard surface of a closed orientable triangulated 3– manifold is isotopic to an almost normal surface. To make our paper essentially self-contained, we reprove a result of Jaco and Rubinstein on normal spheres, Scharlemann's " no nesting " lemma, and the fact that S 3 has no strongly irre-ducible Heegaard s...
متن کامل. G T ] 5 O ct 2 00 3 ALMOST NORMAL HEEGAARD SURFACES
We present a new and shorter proof of Stocking's result that any strongly irreducible Heegaard surface of a closed orientable triangulated 3– manifold is isotopic to an almost normal surface. We also reprove a result of Jaco and Rubinstein on normal spheres. Both proofs are based on the " reduction " technique introduced by the author.
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