Extension of incompressible surfaces on the boundaries of 3-manifolds
Extension of incompressible surfaces on the boundaries of 3-manifolds
An incompressible bounded surface F on the boundary of a compact, connected, orientable 3-manifold M is arcextendible if there is a properly embedded arc γ on ∂M -IntF such that F ∪ N (γ) is incompressible, where N (γ) is a regular neighborhood of γ in ∂M .Suppose for simplicity …