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Incompressible Surfaces in Handlebodies and Closed 3-manifolds
作者单位:Qiu Ruifeng (Department Of Mathematics,Jinn University,Changchun,130023)Deng Xuegong (Department of Mathematics,Northeast University,Shenyang,110006)
摘    要:


Incompressible Surfaces in Handlebodiesand Closed 3-manifolds
Authors:Qiu Ruifeng
Abstract:in this paper we prove that for any positive integer n, 1) a handlebody of genus 2contains a separating incompressible surface of genus n, and 2) there exists a closed 3manifold of heegaard genus 2 which contains a separating incompressible surface of genus n.
Keywords:Heegaard Genus  Incompressible Surface  Closed 3-manifold
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