Complete metric space
id:
complete-metric-space-198-11335659
title:
Complete metric space
text:
In mathematical analysis, a metric space M is called complete if every Cauchy sequence of points in M has a limit that is also in M. Intuitively, a space is complete if there are no "points missing" from it. For instance, the set of rational numbers is not complete, because e.g. 2 is "missing" from it, even though one can construct a Cauchy sequence of rational numbers that converges to it. It is always possible to "fill all the holes", leading to the completion of a given space, as explained be
brand slug:
wiki
category slug:
encyclopedia
description:
Metric geometry
original url:
https://en.wikipedia.org/wiki/Complete_metric_space
date created:
date modified:
2024-04-19T07:00:50Z
main entity:
{"identifier":"Q848569","url":"https://www.wikidata.org/entity/Q848569"}
image:
fields total:
13
integrity:
14