Re: Countably infinite Hausdorff topology?

From: shedar (nobody_at_nonesuch.com)
Date: 09/17/04 

Date: Fri, 17 Sep 2004 12:31:25 GMT

"Stephen J. Herschkorn" <herschko@rutcor.rutgers.edu> wrote in message
news:ld32d.3003$6V2.2320033@news4.srv.hcvlny.cv.net...
>
> <snip>
> It's fine by me to use AC. Much of point-set topology as we know it
> depends on it. And, lately, the Platonist part of me has come to
> "believe in" AC.
>

Sorry for turning this into a discussion of AC vs Transfinite Recursion. To
atone for my sins, I'll supply the following links to articles by S. Shelah
which might be of some relevance to your present pursuit:

http://shelah.logic.at/files/454.pdf
http://arxiv.org/PS_cache/math/pdf/9308/9308217.pdf

   Shedar