某些三维流形中的不可压缩曲面

Incompressible Surfaces in Some 3-manifolds

设 M是一个不同胚于固体环的可定向边界可约化的三维流形或一个亏格大于 1的不可定向柄体 .证明

Let M be an orientable boundary reducible 3 manifold not homeomorphic to a solid torus or a non orientable handlebody with genus more than 1, then it can be proved that M contains incompressible surfaces of arbitrarily high genus.