On Wed, 30 May 2012 01:38:35 -0700, William Elliot <firstname.lastname@example.org> wrote in <news:Pine.NEB.email@example.com> in sci.math,alt.algebra.help:
> On Wed, 30 May 2012, Butch Malahide wrote:
>> On May 30, 2:18 am, William Elliot <ma...@panix.com> wrote:
>>> If A is a zero subset of S, is cl S\A a zero subset?
>> Let S be a totally ordered set of order type omega_1 + 1 >> + omega^* with the order topology, and let A be the >> subset consisting of the first omega_1 + 1 elements of >> S. It seems to me that A is a zero set, but cl S\A is >> not a zero set.