Re: -- The "most natural" completion of a metric space
- From: A N Niel <anniel@xxxxxxxxxxxxxxxxxxxxx>
- Date: Mon, 06 Jul 2009 09:10:08 -0400
In article <c9s355piinsag9dgrjn1obnv7naoi8h0jn@xxxxxxx>, David C.
Ullrich <dullrich@xxxxxxxxxxx> wrote:
I'm really not sure what the requirement is, but have you condsidered
the standard construction of the completion of a metric space?
With his requirements it looks like what he has to do is this ( done
with the example of the rationals ) ... Take the usual completion of
the rationals, then remove the points that correspond to rationals and
replace them with the original rationals. Seems "less natural" to me.
.
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