| Essential Closed Surfaces in a Class of Surface Sum of I-Bundle of Closed Surfaces |
| Received:August 04, 2010 Revised:January 18, 2011 |
| Key Words:
essential surface surface sum length of thin position.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10625102; 10901029). |
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| Abstract: |
| In this paper, we will characterize all types of essential closed surfaces in a class of surface sum of $I$-bundle of closed surfaces, and give an application of the classification in the surface sum of two 3-manifolds. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.05.006 |
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