In this note we give a proof of a result which is closely related to Perelman's
theorem in Section 10.3 of the paper "The entropy formula for the Ricci flow
and its geometric applications" [arxiv:math.DG/0211159].
Received: 3 August 2009
Revised: 18 March 2010
Accepted: 9 March 2010
Published: 10 April 2010
Proposed: Tobias Colding
Seconded: Gang Tian, David Gabai