@Article{CMR-34-171,
author = {Sun , Meng and Liang , Liang},
title = {Weakly Disk-Busting Curves in the Boundary of a Compression Body},
journal = {Communications in Mathematical Research },
year = {2019},
volume = {34},
number = {2},
pages = {171--176},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2018.02.09},
url = {http://global-sci.org/intro/article_detail/cmr/13524.html}
}