| 两个柄体的带和及一个应用 |
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| 引用本文： | 雷逢春. 两个柄体的带和及一个应用[J]. 数学季刊, 2000, 15(1): 88-92 |
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| 作者姓名： | 雷逢春 |
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| 作者单位： | 吉林大学数学系!吉林长春130023 |
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| 基金项目： | Supported in part by NFS of China!(19601019). |
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| 摘 要： | 本文我们描述了使两个柄体带和有不可压缩边界的一个条件,作为应用,我们证明了同伦３－球面的一个表示在某种情形可以被简化。
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| 关 键 词： | 柄体 带和 同伦了－球面 不可压缩边界 |
Band Sum of Two Handlebodies: An Application |
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| LEI Feng-chun, XIE Jing-ran. Band Sum of Two Handlebodies: An Application[J]. Chinese Quarterly Journal of Mathematics, 2000, 15(1): 88-92 |
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| Authors: | LEI Feng-chun XIE Jing-ran |
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| Abstract: | In the present paper,we describe a condition under which the band sum of two handlebodies has incompressible boundary. As an applicaton,we show that the representation of a homo- topy 3-sphere can be reduced in some situation. |
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| Keywords: | band sum of handlebodies representation of homotphy S~3 |
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