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

作     者：Sun Meng Liang Liang 

作者机构：School of Mathematical SciencesHeilongjiang University School of MathematicsLiaoning Normal University 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2018年第34卷第2期

页      面：171-176页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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 

主　　题：handle addition curve complex subsurface projection weakly diskbusting 

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.