Difference between revisions of "Metric space"
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| − | A '''metric space''' is a pair (''X'', ''d'') where ''X'' is a [[topological space]] and ''d'' is a [[Metric (mathematics)|metric]]. All metric spaces are [[Hausdorff | + | A '''metric space''' is a pair (''X'', ''d'') where ''X'' is a [[topological space]] and ''d'' is a [[Metric (mathematics)|metric]]. All metric spaces are [[Hausdorff space]]s. |
[[Category: Mathematics]] | [[Category: Mathematics]] | ||
Revision as of 19:11, March 20, 2007
A metric space is a pair (X, d) where X is a topological space and d is a metric. All metric spaces are Hausdorff spaces.