Question

A subset Y of a complete metric space X is metric iff Y is closed on X

Answer 1

Answer:

hyyyyyy brooooo whatttttt

Step-by-step explanation:

hyyyyyy brooooo whatttttt

Answer 2

Answer:

In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M.

Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g. {\displaystyle {\sqrt {2}}}{\sqrt {2}} is "missing" from it, even though one can construct a Cauchy sequence of rational numbers that converges to it (see further examples below). It is always possible to "fill all the holes", leading to the completion of a given space, as explained below