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Spanning Pre-disks in a Compression Body

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【作者】 Liang LiangHan You-faLi Feng-lingZhao Lu-ying

【Author】 Liang Liang;Han You-fa;Li Feng-ling;Zhao Lu-ying;School of Mathematics,Liaoning Normal University;School of Mathematical Sciences,Dalian University of Technology;

【机构】 School of Mathematics,Liaoning Normal UniversitySchool of Mathematical Sciences,Dalian University of Technology

【摘要】 A properly embedded essential planar surface P(not a disk) in a compression body V is called a spanning pre-disk with respect to J, if one boundary component of P is lying in ?_+V and all other boundary components of P are lying in?_-V and coplanar with J. In this paper, we show that the number of boundary components of spanning pre-disks in a compression body is unbounded. But the number of a maximal collection of spanning pre-disks is bounded.

【基金】 The NSF(11601209,11471151,11401069 and 11671064)of China;the Research Foundation (201601239)for Doctor of Liaoning Province;the Scientific Research Fund(L201683660)of Liaoning Provincial Education Department;the Youth Foundation(LS2015L002)of Liaoning Normal University;a grant of the Fundamental Research Funds(DUT16LK40)for the Central Universities
  • 【DOI】10.13447/j.1674-5647.2018.02.10
  • 【分类号】O186.12
  • 【下载频次】7
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