Completion of the Proof of the Geometrization Conjecture

Understand

This article is a sequel to the book `Ricci Flow and the Poincare Conjecture' by the same authors.

• Using the main results of that book we establish the Geometrization Conjecture for all compact, orientable three-manifolds following the approach indicated by Perelman in his preprints on the subject.
• This approach is to study the collapsed part of the manifold as time goes to infinity in a Ricci flow with surgery.
• The main technique for this study is the theory of Alexandrov spaces.