On Sun, 11 May 2008 04:10:09 -0700 (PDT), eratosthenes
<rehamkcirtap@[EMAIL PROTECTED]
> wrote:
>I am working on some metric stuff for my intro real class. I'm having
>a little trouble thinking about it. I have an interval on the real
>line, say (a, b) I am to consider it as a metric space with the usual
>distance in R.
>
>My question is what the metric space consists of. Is the space the
>interval and the metric happens to be the way distance is measured
>there? Or does the metric define the space? Something like a set of
>distances rather than set of points?
>
>I'm just not sure.
Somewhere in the book there is a _definition_ of the phrase
"metric space". (Probably it reads something like
"A metric space is an ordered pair (X,d), where ...")
David C. Ullrich
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