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by Ciro Santilli (@cirosantilli, 37)

Complete metric space

 ... Mathematics Area of mathematics Calculus Topology Metric (mathematics) Metric space
 1 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
In plain English: the space has no visible holes. If you start walking less and less on each step, you always converge to something that also falls in the space.
One notable example where completeness matters: Lebesgue integral of Lp is complete but Riemann isn't.

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  • Lebesgue integral of Lp is complete but Riemann isn't

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 Articles by others on the same topic (1)

Complete metric space by Wikipedia Bot 0  1970-01-01
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