Difference between revisions of "Complete metric space"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
| − | A complete metric space is a [[metric space]] in which every [[Cauchy sequence]] converges. | + | A complete metric space is a [[metric space]] in which every [[Cauchy sequence]] converges. Every metric space has a completion. |
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 21:48, March 29, 2007
A complete metric space is a metric space in which every Cauchy sequence converges. Every metric space has a completion.