Year: 2017
Author: Yan Zhao, Fengchun Lei, Fengling Li
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 215–222
Abstract
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 $n > 0$ 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 S3.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.03.03
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 215–222
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: complete surface system ∂-reducibility Heegaard splitting