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Metric space (view source)

Revision as of 02:02, July 6, 2007

252 bytes added ,  02:02, July 6, 2007
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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 space]]s.
 
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.
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Examples of metric spaces include:
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*the set of [[real numbers]]
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*a Euclidean space of any dimension
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*any set of finite points where the distance between distinct points is defined as 1, and the distance between a point and itself is defined as zero.
    
[[Category: Mathematics]]
 
[[Category: Mathematics]]
 
[[category: Topology]]
 
[[category: Topology]]
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