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闭曲面丛的一类曲面连通和中的本质闭曲面
引用本文:王树新,邱瑞锋.闭曲面丛的一类曲面连通和中的本质闭曲面[J].数学研究与评论,2011,31(5):814-818.
作者姓名:王树新  邱瑞锋
作者单位:大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024
基金项目:国家自然科学基金(Grant Nos.10625102; 10901029).
摘    要:In this paper, we will characterize all types of essential closed surfaces in a class of surface sum ofI-bundle of closed surfaces, and give an application of the classificatioa in the surface sum of two 3-manifolds.

关 键 词:essential  surface  surface  sum  length  of  thin  position.
收稿时间:8/4/2010 12:00:00 AM
修稿时间:2011/1/18 0:00:00

Essential Closed Surfaces in a Class of Surface Sum of I-Bundle of Closed Surfaces
Shu Xin WANG and Rui Feng QIU.Essential Closed Surfaces in a Class of Surface Sum of I-Bundle of Closed Surfaces[J].Journal of Mathematical Research and Exposition,2011,31(5):814-818.
Authors:Shu Xin WANG and Rui Feng QIU
Institution:School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China
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.
Keywords:essential surface  surface sum  length of thin position  
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