Re: Closed set with Cantor-Bendixson Rank omega

From: Mike Oliver (mike_lists_at_verizon.net)
Date: 02/09/05


Date: Wed, 09 Feb 2005 17:18:41 -0600

poopdeville@gmail.com wrote:

> Does anyone know of an example of a closed set in a Polish space with
> Cantor-Bendixson rank \omega?

Just working it out on the back of my eyeballs, I think you
could just take a set of rationals (considered as a subset
of the reals) having order-type omega^omega. Haven't checked
it carefully.