TY - JOUR
T1 - Weakly Disk-Busting Curves in the Boundary of a Compression Body
AU - Sun , Meng
AU - Liang , Liang
JO - Communications in Mathematical Research 
VL - 2
SP - 171
EP - 176
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.02.09
UR - https://global-sci.org/intro/article_detail/cmr/13524.html
KW - handle addition, curve complex, subsurface projection, weakly disk-busting
AB - <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>