Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible  

作　　者：Bing FANG Fengchun LEI Liang LIANG 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,Liaoning,China [2]School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning,China

出　　处：《Chinese Annals of Mathematics,Series B》2024年第2期161-172,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12071051)。

摘　　要：In this paper,the authors give some sufficient conditions for an amalgamated 3-manifold along a compact connected surface F with boundary to be ∂-irreducible in terms of distances between some kinds of vertex subsets of the curve complex and the arc complex of F.

关 键 词：∂-Irreducibility IRREDUCIBILITY Amalgamated 3-manifold Curve complex Arc complex 

分 类 号：O186.1[理学—数学]