Closed set with Cantor-Bendixson Rank omega

poopdeville_at_gmail.com
Date: 02/09/05 

Date: 9 Feb 2005 14:58:21 -0800

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

(Recall that we can define the transfinite C-B Derivatives for a closed
set A by C_0 = A, C_n = C_{n-1}', C_\eta = intersection_{\beta<\eta}
C_\beta, where the prime function takes a set to its limit points. The
C-B rank is the first ordinal \eta such that C_\eta = C_{\eta+1}.)

Even a reference to an existence proof would be sweet.

Thanks
'cid 'ooh

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