1 Answers
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 {\displaystyle {\sqrt {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 below.
5 views
Answered