Difference between revisions of "Complete (mathematics)"
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| − | In mathematics, a [[metric (mathematics)|metric space]] is said to be '''complete''' if all [[Cauchy sequences]] [[converge]]. | + | In [[mathematics]], a [[metric (mathematics)|metric space]] is said to be '''complete''' if all [[Cauchy sequences]] [[converge]]. Other examples include the [[real numbers]] (with the Archimedean metric), the [[complex numbers]], and the [[p-adic numbers]]. |
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| + | [[Category:Topology]] | ||
Latest revision as of 22:32, November 17, 2008
In mathematics, a metric space is said to be complete if all Cauchy sequences converge. Other examples include the real numbers (with the Archimedean metric), the complex numbers, and the p-adic numbers.