A New Proof of a Theorem of J .
A New Proof of a Theorem of J .
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J 定理的新证明。
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
M. Montesinos
中科院分区：
文献类型：
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作者：
M. Montesinos
If M denotes a closed orientable 3-manifold, a Dehn sphere Σ [Pa] in M will be a 2-sphere immersed in M with only double curve and triple point singularities. The sphere Σ fills M [M2] if it defines a cell decomposition of M . In [M2] it is proved that every closed orientable 3-manifold has a nulhomotopic filling Dehn sphere, and Johansson diagrams [J] of Dehn spheres are proposed as a new method for representing all closed, orientable 3-manifolds. In the present paper another proof of this theorem is given and an algorithm for obtaining Johansson diagrams of closed orientable 3-manifolds from their Heegaard diagrams is developed in detail. Some examples are given.
