  We provide here a counter-example to the second inequality of Corollary
(19.10) in the Clay Institute Monograph by J.Morgan and G.Tian entitled "Ricci
Flow and the Poincare Conjecture". We had announced the existence of this
counter-example in our paper "Five Gaps in Mathematics", Advanced Non-linear
Studies, vol 15, No. 2, (2015). We make the details available here.
  J.Morgan and G.Tian have recently (arXiv/math/DG:1512.00699, (2015))
published a correction to their arguments in the monograph. In a forthcoming
short Note, we will discuss this correction.
  We wish to thank John Morgan, Terry Tao and Gang Tian for having considered
and discussed the validity of this counter-example.
