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Lebl-Basic-Analysis-I
· Problem 7.4.3
Metric Spaces
Mathematics · compactness
Problem
Let
(
X
,
d
)
(X, d)
(
X
,
d
)
be a metric space with the discrete metric. a) Prove that
X
X
X
is complete. b) Prove that
X
X
X
is compact if and only if
X
X
X
is a finite set.
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