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Complete metric space

Index Mathematics Fields of mathematics Geometry Fields of geometry Metric geometry
 1 By others on same topic  0 Discussions  1970-01-01  See my version

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  1. Metric geometry
  2. Fields of geometry
  3. Geometry
  4. Fields of mathematics
  5. Mathematics
  6. Index

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 Articles by others on the same topic (1)

Complete metric space by Ciro Santilli 37  Updated 2025-05-09  +Created 1970-01-01
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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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