数学研究通讯

2018, v.34(02) 171-176

[打印本页] [关闭]
本期目录 | 过刊浏览 | 高级检索

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

Sun Meng;Liang Liang;

摘要(Abstract):

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.

关键词(KeyWords):

Abstract:

Keywords:

基金项目(Foundation): 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

作者(Author): Sun Meng;Liang Liang;

Email:

扩展功能
本文信息
服务与反馈
本文关键词相关文章
本文作者相关文章
中国知网
分享