Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 5: 945 - 956

DOI: https://doi.org/10.1007/s11464-011-0150-9

RESEARCH ARTICLE

Essential closed surfaces in surface sum of product I-bundle of closed surfaces

  • Shuxin WANG
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  • School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

Received date: 17 Dec 2010

Accepted date: 14 Jul 2011

Published date: 01 Oct 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, we will give some results on the classification of essential closed surfaces in the surface sum of product I-bundle of closed surfaces and some applications of these results.

Key words： Surface sum; product I-bundle; essential surface; Haken-Kneser number

Cite this article

Shuxin WANG . Essential closed surfaces in surface sum of product I-bundle of closed surfaces[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 945 -956 . DOI: 10.1007/s11464-011-0150-9

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