Heegaard Splittings of Boundary Reducible 3-Manifolds

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dc.creatorMa, Jiming
dc.creatorQiu, Ruifeng
dc.date2004-09-26
dc.date.accessioned2026-07-07T05:12:35Z
dc.date.available2026-07-07T05:12:35Z
dc.descriptionIn this paper, we shall prove that any Heegaard splitting of a $\partial$-reducible 3-manifold $M$, say $M=W\cup V$, can be obtained by doing connected sums, boundary connected sums and self-boundary connected sums from Heegaard splittings of $n$ manifolds $M_{1},..., M_{n}$ where $M_{i}$ is either a solid torus or a $\partial$-irreducible manifold. Furthermore, $W\cup V$ is stabilized if and only if one of the factors is stabilized.
dc.description12 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0409498
dc.identifierhttp://arxiv.org/abs/math/0409498
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72627
dc.subjectGeometric Topology
dc.titleHeegaard Splittings of Boundary Reducible 3-Manifolds
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