Year: 2018
Author: Meng Sun, Liang Liang
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 171–176
Abstract
Let $V$ be a nontrivial compression body which is not simple. An essential simple closed curve $J$ in $\partial_+V$ is called weakly disk-busting if $\partial_+V-J$ 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.02.09
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 171–176
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: handle addition curve complex subsurface projection weakly disk-busting