An important class in the study of topology of 3-manifolds is the so-called 'sufficiently large 3-manifolds', i.e. those compact 3-manifolds which contain properly embedded, 2-sided incompressible surfaces. We...An important class in the study of topology of 3-manifolds is the so-called 'sufficiently large 3-manifolds', i.e. those compact 3-manifolds which contain properly embedded, 2-sided incompressible surfaces. We know that every sufficiently large 3-manifold can bc cut into some 3-cells along incompressible surfaces in a finite process. For a 3-manifold, it is interesting to know whether there exists an incompressible surface embedded in it and how the incompressible surface embeds.展开更多
文摘An important class in the study of topology of 3-manifolds is the so-called 'sufficiently large 3-manifolds', i.e. those compact 3-manifolds which contain properly embedded, 2-sided incompressible surfaces. We know that every sufficiently large 3-manifold can bc cut into some 3-cells along incompressible surfaces in a finite process. For a 3-manifold, it is interesting to know whether there exists an incompressible surface embedded in it and how the incompressible surface embeds.
