Date: Feb 2, 2013 2:01 AM
Author: quasi
Subject: Re: looking for example of closed set that is *not* complete in a metric space

Butch Malahide wrote

>If (X,d) is not complete, then it has at least one closed
>subspace which is not complete, namely, (X,d) is a closed
>subspace of itself.


Moreover, if (X,d) is not complete, it has uncountably many
subsets which are closed but not complete.

quasi