# ? normed space and metric space

*From*: "Cheng Cosine" <acosine@xxxxxxxxxx>*Date*: Mon, 18 Feb 2008 02:43:52 -0500

Hi:

What are the differences between a normed space and a metric space?

I thought a metric space means a space that comes with the "distance"

being defined, and likewise a normed space with a norm being defined.

But isn't norm kind of distance? Any differences?

Thanks,

by Cheng Cosine

Feb/17/2k8 NC

.

**Follow-Ups**:**Re: ? normed space and metric space***From:*David C . Ullrich

**Re: ? normed space and metric space***From:*William Elliot

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