马继明,雷逢春.边界可约的Heegaard分解(英文)[J].数学研究及应用,2005,25(2):287~291 |
边界可约的Heegaard分解(英文) |
On δ-reducible Heegaard Splittings |
投稿时间:2004-04-10 |
DOI:10.3770/j.issn:1000-341X.2005.02.010 |
中文关键词: 连通和 边界连通和 边界自连通和 |
英文关键词:connected sum boundary connected sum self-boundaxy connected sum. |
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中文摘要: |
本文证明了任意边界可约流形的Heegaard分解都是n个不可约的、边界不可约的三维流形的Heegaard分解通过连通和、边界连通和及边界自连通和运算而得到. |
英文摘要: |
In this paper, we shall prove that any Heegaard splitting of a δ-reducible 3-manifold M, say M = W∪V, can be obtained by doing connected sums, boundary connected sums and self-boundary connected sums from Heegaard splittings of n manifolds M1,..., Mn, where Mi is either a solid torus or an irreducible, ?-irreducible manifold. |
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