| 压缩体中极小的本质非扩展极大平环组 |
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| 引用本文： | 雷逢春,汤敬岩,杨国俅.压缩体中极小的本质非扩展极大平环组[J].松辽学刊,2008,29(3):19-21. |
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| 作者姓名： | 雷逢春 汤敬岩 杨国俅 |
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| 作者单位： | [1]大连理工大学应用数学系,大连116024 [2]哈尔滨工业大学数学系,哈尔滨150001 |
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| 基金项目： | Fotmdation item：Supported in part by a grant （No. 15071034） of NFSC Affiliation. |
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| 摘 要： | 本文主要结果是证明了一个压缩体g（δ＋c）≥3中极小的本质非扩展极大平环组恰包含两个平环．这推广了亏格大于2的柄体中相应的一个结果．
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| 关 键 词： | 本质平环 压缩体 极大组 |
Minimal maximal collections of non-spanning essential annuli in a compression body |
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| LEI Feng-chun,TANG Jing-yan,YANG Guo-qiu.Minimal maximal collections of non-spanning essential annuli in a compression body[J].Songliao Journal (Natural Science Edition),2008,29(3):19-21. |
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| Authors: | LEI Feng-chun TANG Jing-yan YANG Guo-qiu |
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| Institution: | LEI Feng-chun, TANG Jing-yan, YANG Guo-qiu(1.Department of Applied Mathematics,Dalian university of technology,Dalian,116024,China;2.Department of Mathematics Harbin Institute of technology,Harbin 150001,China) |
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| Abstract: | The main result of the paper says that a minimal maximal collection of essential non-spanning annuli in a non-trivial compression body C with g（δ ＋ C） ≥3 contains exactly two annuli.This extends a similar result in a handlebody of genus ≥ 2. |
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| Keywords: | essential annuli compression body maximal collection2000 MSC:57M99 |
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