Building on and extending their 2007 paper "Ricci Flow and the Poincaré Conjecture," Morgan and Tian offer a complete proof of the geometrization conjecture. The conjecture holds that any closed, orientable, prime 3-manifold M contains a disjoint union of embedded incompressible 2-tori and Klein bottles such that each connected component of the complement admits a complete, locally homogeneous Riemannian metric of finite volume. They discuss geometric and analytical results for Ricci flow with surgery, locally volume collapsed 3-manifolds, and the equivariant case. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)