@Article{CMR-33-3,
author = {Zhao, Yan and Lei, Fengchun and Li, Fengling},
title = {On ∂-Reducible 3-Manifolds Which Admit Complete Surface Systems},
journal = {Communications in Mathematical Research },
year = {2017},
volume = {33},
number = {3},
pages = {215--222},
abstract = {<p style="text-align: justify;">In the present paper, we consider a class of compact orientable 3-manifolds
with one boundary component, and suppose that the manifolds are ∂-reducible and
admit complete surface systems. One of our main results says that for a compact
orientable, irreducible and ∂-reducible 3-manifold M with one boundary component
F of genus $n &gt; 0$ which admits a complete surface system S′
, if D is a collection
of pairwise disjoint compression disks for ∂M, then there exists a complete surface
system S for M, which is equivalent to S′
, such that D is disjoint from S. We also
obtain some properties of such 3-manifolds which can be embedded in S<sup>3</sup>.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2017.03.03},
url = {https://global-sci.com/article/81649/on-reducible-3-manifolds-which-admit-complete-surface-systems}
}