quasi
Posts:
12,062
Registered:
7/15/05


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


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

