3-Manifold Containing Separating Incompressible Surfaces of All Positive Genera

Citation
Ma, Ji Ming et Qiu, Rui Feng, 3-Manifold Containing Separating Incompressible Surfaces of All Positive Genera, Acta mathematica Sinica. English series (Print) , 21(6), 2005, pp. 1315-1318
ISSN journal
14398516
Volume
21
Issue
6
Year of publication
2005
Pages
1315 - 1318
Database
ACNP
SICI code
Abstract
In this paper, we shall prove that for any orientable 3.manifold M, there is a link L = K . K 1 . K 2 . K 3 with four components in M, such that the complement of L, say M L , contains separating essential closed surfaces of all positive genera.