[FOM] Re: Soare's article in the BSL

[Timothy Y. Chow]

I started looking over this article and first want to say that this is 
excellent: More of this kind of expository writing is exactly what the
world needs more of.

One point where I got lost was Definition 7.3, the definition of Al(M).
I don't understand the definition:

   Define Al(M) to be the subset of Met(M) consisting of the
   closure in the Gromov-Hausdorff metric of isometry classes
   of metrics (in Riem(M)/Diff(M).

Isn't everything in Met(M) an isometry class of a metric?

Tim