一类交错空间图补空间中的不可压缩、两两不可压缩曲面

Incompressible Pairwise Incompressible Surfaces in A Class of Alternating Spatial Graph Complements

利用Menasco W的纽结补空间中不可压缩、两两不可压缩曲面的拓扑图理论,结合三维流形的组合讨论技巧和方法,证明一类交错空间图补空间中具有子午线边界分支的不可压缩、两两不可压缩曲面是穿孔球面.

By Menasco＇s topological graph theory of incompressible pairwise incompressible surfaces in knot complements and the combinatorial methods and techniques in three dimensional manifolds,the result that incompressible pairwise incompressible surfaces with meridian boundaries in a class of alternating spa-tial graph complements are punctured spheres is proved.