Hempel, in his 1987 article "Residual Finiteness for 3-Manifolds", shows that if 𝑀$M$ is a compact Haken 3-manifold, then 𝜋1(𝑀)$\pi_1(M)$ is residually finite. In the proof he starts by reducing the case to '𝑀'$M$ is closed and irreducible'. Why can he so easily do that?
Thanks in advance!