Year: 2018
Author: Liang Liang, Youfa Han, Fengling Li, Luying Zhao
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.02.10
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 177–183
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: spanning pre-disk curve complex compression body maximal collection