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Weakly Disk-busting Curves in the Boundary of a Compression Body

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【作者】 Sun MengLiang Liang

【Author】 Sun Meng;Liang Liang;School of Mathematical Sciences,Heilongjiang University;School of Mathematics,Liaoning Normal University;

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

【摘要】 Let V be a nontrivial compression body which is not simple. An essential simple closed curve J in ?_+V is called weakly disk-busting if ?_+V-J has only one compressing disk up to isotopy. In this paper, we give an upper bound of the diameter of the image of boundaries of essential disks in V under any projection determined by a weakly disk-busting curve. Moreover, we give a sufficient condition for the handle additions to be boundary irreducible.

【基金】 The NSF(11601209)of China;Research Foundation(201601239)for Doctor of Liaoning Province;Scientific Research Fund(L201683660)of Liaoning Provincial Education Department;Youth Foundation(LS2015L002)of Liaoning Normal University
  • 【DOI】10.13447/j.1674-5647.2018.02.09
  • 【分类号】O186.1
  • 【下载频次】4
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