On δ-reducible Heegaard Splittings
Received:April 10, 2004  
Key Words: connected sum   boundary connected sum   self-boundaxy connected sum.  
Fund Project:the National Natural Science Foundation of China (10171024, 10171038)
Author NameAffiliation
MA Ji-ming Dept. of Math.
Jilin University
Changchun
China 
LEI Feng-chun Dept. of Math.
Harbin Institute of Technology
Heilongjiang
China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.2005.02.010
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