
Re: looking for example of closed set that is *not* complete in a metric space
Posted:
Feb 2, 2013 3:14 AM


On Feb 2, 1:01 am, quasi <qu...@null.set> wrote: > 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.
Oh, right. At least 2^{aleph_0} of them.

