@Article{CMR-34-2, author = {Liang, Liang and Youfa, Han and Li, Fengling and Zhao, Luying}, title = {Spanning Pre-Disks in a Compression Body}, journal = {Communications in Mathematical Research }, year = {2018}, volume = {34}, number = {2}, pages = {177--183}, 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 $\partial_+V$ and all other boundary components of $P$ are lying in $\partial_-V$ 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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.02.10}, url = {https://global-sci.com/article/81597/spanning-pre-disks-in-a-compression-body} }