by William Elliot <marsh@[EMAIL PROTECTED]
>
May 11, 2008 at 08:48 PM
On Sun, 11 May 2008, eratosthenes 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?
Yes, more or less.
> Or does the metric define the space?
>
No. The metric defines the topology or the texture of the space.
> Something like a set of distances rather than set of points?
No. A metric space is a set of points and a metric.
