Complete metric space ↩

Metadata

shorthands: {}
aliases: [Cauchy space]
created: 2021-12-03 00:59:31
modified: 2022-01-10 04:13:04

is complete if in it, every Cauchy sequence converges to an element of

In intuitive words: every Cauchy sequence stays inside the metric space.

Examples

Real numbers are complete under the metric induced by the usual absolute value
Complex numbers are complete under the metric induced by the usual absolute value