数学研究通讯

2018, v.34(02) 177-183

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Spanning Pre-disks in a Compression Body
Spanning Pre-disks in a Compression Body

Liang Liang;Han You-fa;Li Feng-ling;Zhao Lu-ying;

摘要(Abstract):

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.

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基金项目(Foundation): 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

作者(Author): Liang Liang;Han You-fa;Li Feng-ling;Zhao Lu-ying;

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