Incompressible surfaces and the topology of 3-dimensional manifolds
Incompressible surfaces and the topology of 3-dimensional manifolds
Abstract Existence and properties of incompressible surfaces in 3-dimensional manifolds are surveyed. Some conjectures of Waldhausen and Thurston concerning such surfaces are stated. An outline is given of the proof that such surfaces can be pulled back by non-zero degree maps between 3-manifolds. The effect of surgery on immersed, incompressible …