Essential Closed Surfaces in a Class of Surface Sum of I-Bundle of Closed Surfaces
Received:August 04, 2010  Revised:January 18, 2011
Key Word: essential surface   surface sum   length of thin position.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.10625102; 10901029).
Author NameAffiliation
Shu Xin WANG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Rui Feng QIU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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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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