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Complete Metric Space


A complete metric space is a metric space in which every Cauchy sequence is convergent.

Examples include the real numbers with the usual metric, the complex numbers, finite-dimensional real and complex vector spaces, the space of square-integrable functions on the unit interval L^2([0,1]), and the p-adic numbers.


See also

Complete Metric, Inner Product Space

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Cite this as:

Weisstein, Eric W. "Complete Metric Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CompleteMetricSpace.html

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